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155929364660224 = 218296
BaseRepresentation
bin100011011101000100100010…
…011001000000000000000000
3202110002200221112011022010101
4203131010202121000000000
5130414221314323111344
61311344543342412144
744562345005610421
oct4335044231000000
9673080845138111
10155929364660224
11457582aa30a451
12155a41a4891054
1369010cac6116c
142a7104308b648
1513061321079d4
hex8dd122640000

155929364660224 has 133 divisors (see below), whose sum is σ = 322995924996157. Its totient is φ = 75276245008384.

The previous prime is 155929364660161. The next prime is 155929364660243. The reversal of 155929364660224 is 422066463929551.

The square root of 155929364660224 is 12487168.

The cubic root of 155929364660224 is 53824.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 66598134349824 + 89331230310400 = 8160768^2 + 9451520^2 .

It is a super-2 number, since 2×1559293646602242 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 5376874643442 + ... + 5376874643470.

Almost surely, 2155929364660224 is an apocalyptic number.

155929364660224 is the 12487168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155929364660224

155929364660224 is an abundant number, since it is smaller than the sum of its proper divisors (167066560335933).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

155929364660224 is an frugal number, since it uses more digits than its factorization.

155929364660224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 64.

155929364660224 divided by its sum of digits (64) gives a 6-th power (2436396322816 = 1166).

The spelling of 155929364660224 in words is "one hundred fifty-five trillion, nine hundred twenty-nine billion, three hundred sixty-four million, six hundred sixty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 841 928 1024 1682 1856 2048 3364 3712 4096 6728 7424 8192 13456 14848 16384 24389 26912 29696 32768 48778 53824 59392 65536 97556 107648 118784 131072 195112 215296 237568 262144 390224 430592 475136 707281 780448 861184 950272 1414562 1560896 1722368 1900544 2829124 3121792 3444736 3801088 5658248 6243584 6889472 7602176 11316496 12487168 13778944 20511149 22632992 24974336 27557888 41022298 45265984 49948672 55115776 82044596 90531968 99897344 110231552 164089192 181063936 199794688 220463104 328178384 362127872 399589376 594823321 656356768 724255744 799178752 1189646642 1312713536 1448511488 1598357504 2379293284 2625427072 2897022976 3196715008 4758586568 5250854144 5794045952 6393430016 9517173136 10501708288 11588091904 19034346272 21003416576 23176183808 38068692544 42006833152 46352367616 76137385088 84013666304 92704735232 152274770176 168027332608 185409470464 304549540352 336054665216 609099080704 672109330432 1218198161408 1344218660864 2436396322816 2688437321728 4872792645632 5376874643456 9745585291264 19491170582528 38982341165056 77964682330112 155929364660224