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159465325960 = 23573341316001
BaseRepresentation
bin1001010010000011011…
…1111100010110001000
3120020121102010220002201
42110200313330112020
510103041110412320
6201131331205544
714343461622523
oct2244067742610
9506542126081
10159465325960
11616a1023696
1226aa47468b4
1312064564255
147a0a8d3bba
154234a7570a
hex2520dfc588

159465325960 has 64 divisors (see below), whose sum is σ = 363841314480. Its totient is φ = 62889984000.

The previous prime is 159465325939. The next prime is 159465325973. The reversal of 159465325960 is 69523564951.

It can be written as a sum of positive squares in 8 ways, for example, as 140087015524 + 19378310436 = 374282^2 + 139206^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9957960 + ... + 9973960.

Almost surely, 2159465325960 is an apocalyptic number.

159465325960 is a gapful number since it is divisible by the number (10) 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 159465325960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181920657240).

159465325960 is an abundant number, since it is smaller than the sum of its proper divisors (204375988520).

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

159465325960 is a wasteful number, since it uses less digits than its factorization.

159465325960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19498 (or 19494 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 55.

The spelling of 159465325960 in words is "one hundred fifty-nine billion, four hundred sixty-five million, three hundred twenty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 3413 6826 13652 16001 17065 27304 32002 34130 64004 68260 80005 128008 136520 160010 249149 320020 498298 640040 996596 1168073 1245745 1993192 2336146 2491490 4672292 4982980 5840365 9344584 9965960 11680730 23361460 46722920 54611413 109222826 218445652 273057065 436891304 546114130 1092228260 2184456520 3986633149 7973266298 15946532596 19933165745 31893065192 39866331490 79732662980 159465325960