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156920561424 = 243211230012
BaseRepresentation
bin1001001000100100110…
…0011011111100010000
3120000001001201110102100
42102021030123330100
510032333130431144
6200031024120400
714223431523114
oct2221114337420
9500031643370
10156920561424
1160605625400
12264b4466100
1311a4a290713
14784894d744
154136456269
hex248931bf10

156920561424 has 135 divisors (see below), whose sum is σ = 482873551797. Its totient is φ = 47535840000.

The previous prime is 156920561419. The next prime is 156920561431. The reversal of 156920561424 is 424165029651.

The square root of 156920561424 is 396132.

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

156920561424 is a `hidden beast` number, since 1 + 5 + 6 + 9 + 2 + 0 + 5 + 614 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 84408843024 + 72511718400 = 290532^2 + 269280^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 156920561424.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52287924 + ... + 52290924.

Almost surely, 2156920561424 is an apocalyptic number.

156920561424 is the 396132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156920561424

156920561424 is an abundant number, since it is smaller than the sum of its proper divisors (325952990373).

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

156920561424 is an equidigital number, since it uses as much as digits as its factorization.

156920561424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6038 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 156920561424 in words is "one hundred fifty-six billion, nine hundred twenty million, five hundred sixty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 3001 4356 5808 6002 8712 9003 12004 17424 18006 24008 27009 33011 36012 48016 54018 66022 72024 99033 108036 132044 144048 198066 216072 264088 297099 363121 396132 432144 528176 594198 726242 792264 1089363 1188396 1452484 1584528 2178726 2376792 2904968 3268089 4357452 4753584 5809936 6536178 8714904 9006001 13072356 17429808 18012002 26144712 27018003 36024004 52289424 54036006 72048008 81054009 99066011 108072012 144096016 162108018 198132022 216144024 297198033 324216036 396264044 432288048 594396066 648432072 792528088 891594099 1089726121 1188792132 1296864144 1585056176 1783188198 2179452242 2377584264 3269178363 3566376396 4358904484 4755168528 6538356726 7132752792 8717808968 9807535089 13076713452 14265505584 17435617936 19615070178 26153426904 39230140356 52306853808 78460280712 156920561424