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32164270336 = 2811210192
BaseRepresentation
bin11101111101001000…
…111101000100000000
310002000120202020010201
4131331020331010000
51011333023122321
622435343534544
72216026533622
oct357510750400
9102016666121
1032164270336
111270598a400
1262978ba454
133057896833
1417b1a64c12
15c83b39291
hex77d23d100

32164270336 has 81 divisors (see below), whose sum is σ = 70639450903. Its totient is φ = 14605775360.

The previous prime is 32164270321. The next prime is 32164270337. The reversal of 32164270336 is 63307246123.

The square root of 32164270336 is 179344.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 32164270295 and 32164270304.

It is not an unprimeable number, because it can be changed into a prime (32164270337) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31564035 + ... + 31565053.

Almost surely, 232164270336 is an apocalyptic number.

32164270336 is the 179344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32164270336

32164270336 is an abundant number, since it is smaller than the sum of its proper divisors (38475180567).

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

32164270336 is an frugal number, since it uses more digits than its factorization.

32164270336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 37.

It can be divided in two parts, 32164 and 270336, that added together give a square (302500 = 5502).

The spelling of 32164270336 in words is "thirty-two billion, one hundred sixty-four million, two hundred seventy thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1019 1408 1936 2038 2816 3872 4076 7744 8152 11209 15488 16304 22418 30976 32608 44836 65216 89672 123299 130432 179344 246598 260864 358688 493196 717376 986392 1038361 1434752 1972784 2076722 2869504 3945568 4153444 7891136 8306888 11421971 15782272 16613776 22843942 31564544 33227552 45687884 66455104 91375768 125641681 132910208 182751536 251283362 265820416 365503072 502566724 731006144 1005133448 1462012288 2010266896 2924024576 4020533792 8041067584 16082135168 32164270336