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147023166096 = 2434106512
BaseRepresentation
bin1000100011101101000…
…0110111101010010000
3112001111022000200110000
42020323100313222100
54402100412303341
6151312544410000
713423241202132
oct2107320675220
9461438020400
10147023166096
1157396820844
12245b1916900
1310b30919491
14718a299052
153c575b48b6
hex223b437a90

147023166096 has 75 divisors (see below), whose sum is σ = 425567653203. Its totient is φ = 49003120800.

The previous prime is 147023166091. The next prime is 147023166097. The reversal of 147023166096 is 690661320741.

The square root of 147023166096 is 383436.

It is a perfect power (a square), and thus also a powerful number.

147023166096 is a `hidden beast` number, since 1 + 4 + 7 + 0 + 2 + 31 + 6 + 609 + 6 = 666.

It is a super-2 number, since 2×1470231660962 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (147023166091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 13798371 + ... + 13809021.

Almost surely, 2147023166096 is an apocalyptic number.

147023166096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

147023166096 is the 383436-th square number.

It is an amenable number.

147023166096 is an abundant number, since it is smaller than the sum of its proper divisors (278544487107).

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

147023166096 is an frugal number, since it uses more digits than its factorization.

147023166096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21322 (or 10656 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 147023166096 in words is "one hundred forty-seven billion, twenty-three million, one hundred sixty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 10651 21302 31953 42604 63906 85208 95859 127812 170416 191718 255624 287577 383436 511248 575154 766872 862731 1150308 1533744 1725462 2300616 3450924 4601232 6901848 13803696 113443801 226887602 340331403 453775204 680662806 907550408 1020994209 1361325612 1815100816 2041988418 2722651224 3062982627 4083976836 5445302448 6125965254 8167953672 9188947881 12251930508 16335907344 18377895762 24503861016 36755791524 49007722032 73511583048 147023166096