Search a number
-
+
161589398952 = 233195312915179
BaseRepresentation
bin1001011001111101111…
…0101000110110101000
3120110002102221222110210
42112133132220312220
510121413341231302
6202122205341120
714450223141252
oct2263736506650
9513072858423
10161589398952
1162591004113
1227397b677a0
1312312630387
147b6ca48cd2
15430b29566c
hex259f7a8da8

161589398952 has 128 divisors (see below), whose sum is σ = 433677888000. Its totient is φ = 50016994560.

The previous prime is 161589398951. The next prime is 161589398963. The reversal of 161589398952 is 259893985161.

It is a super-2 number, since 2×1615893989522 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (161589398951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31198299 + ... + 31203477.

It is an arithmetic number, because the mean of its divisors is an integer number (3388108500).

Almost surely, 2161589398952 is an apocalyptic number.

161589398952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161589398952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216838944000).

161589398952 is an abundant number, since it is smaller than the sum of its proper divisors (272088489048).

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

161589398952 is a wasteful number, since it uses less digits than its factorization.

161589398952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6551 (or 6547 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 66.

The spelling of 161589398952 in words is "one hundred sixty-one billion, five hundred eighty-nine million, three hundred ninety-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 53 57 76 106 114 152 159 212 228 318 424 456 636 1007 1272 1291 2014 2582 3021 3873 4028 5164 5179 6042 7746 8056 10328 10358 12084 15492 15537 20716 24168 24529 30984 31074 41432 49058 62148 68423 73587 98116 98401 124296 136846 147174 196232 196802 205269 273692 274487 294348 295203 393604 410538 547384 548974 588696 590406 787208 821076 823461 1097948 1180812 1300037 1642152 1646922 2195896 2361624 2600074 3293844 3900111 5200148 5215253 6587688 6686089 7800222 10400296 10430506 13372178 15600444 15645759 20058267 20861012 26744356 31200888 31291518 40116534 41722024 53488712 62583036 80233068 125166072 127035691 160466136 254071382 354362717 381107073 508142764 708725434 762214146 1016285528 1063088151 1417450868 1524428292 2126176302 2834901736 3048856584 4252352604 6732891623 8504705208 13465783246 20198674869 26931566492 40397349738 53863132984 80794699476 161589398952