Search a number
-
+
169152138720 = 25325412865043
BaseRepresentation
bin1001110110001001000…
…0001100110111100000
3121011121111120222002200
42131202100030313200
510232410421414340
6205412445213200
715135514312245
oct2354220146740
9534544528080
10169152138720
1165811a77474
1228948861200
1312c493b7416
14828920d5cc
1546001bc330
hex276240cde0

169152138720 has 144 divisors (see below), whose sum is σ = 591310701072. Its totient is φ = 44007045120.

The previous prime is 169152138709. The next prime is 169152138721. The reversal of 169152138720 is 27831251961.

169152138720 is a `hidden beast` number, since 1 + 6 + 91 + 521 + 38 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1691521387202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (169152138721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1373482 + ... + 1491561.

It is an arithmetic number, because the mean of its divisors is an integer number (4106324313).

Almost surely, 2169152138720 is an apocalyptic number.

169152138720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

169152138720 is an abundant number, since it is smaller than the sum of its proper divisors (422158562352).

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

169152138720 is a wasteful number, since it uses less digits than its factorization.

169152138720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2865105 (or 2865094 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 169152138720 in words is "one hundred sixty-nine billion, one hundred fifty-two million, one hundred thirty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 41 45 48 60 72 80 82 90 96 120 123 144 160 164 180 205 240 246 288 328 360 369 410 480 492 615 656 720 738 820 984 1230 1312 1440 1476 1640 1845 1968 2460 2952 3280 3690 3936 4920 5904 6560 7380 9840 11808 14760 19680 29520 59040 2865043 5730086 8595129 11460172 14325215 17190258 22920344 25785387 28650430 34380516 42975645 45840688 51570774 57300860 68761032 85951290 91681376 103141548 114601720 117466763 128926935 137522064 171902580 206283096 229203440 234933526 257853870 275044128 343805160 352400289 412566192 458406880 469867052 515707740 587333815 687610320 704800578 825132384 939734104 1031415480 1057200867 1174667630 1375220640 1409601156 1762001445 1879468208 2062830960 2114401734 2349335260 2819202312 3524002890 3758936416 4125661920 4228803468 4698670520 5286004335 5638404624 7048005780 8457606936 9397341040 10572008670 11276809248 14096011560 16915213872 18794682080 21144017340 28192023120 33830427744 42288034680 56384046240 84576069360 169152138720