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10156970664 = 23321373532917
BaseRepresentation
bin10010111010110011…
…10001001010101000
3222012212010120101200
421131121301022220
5131300141030124
64355511044200
7506461553241
oct113531611250
928185116350
1010156970664
114342388435
121b75670660
13c5b38a119
146c4d43cc8
153e6a67bc9
hex25d6712a8

10156970664 has 96 divisors (see below), whose sum is σ = 27797276520. Its totient is φ = 3350274048.

The previous prime is 10156970651. The next prime is 10156970699. The reversal of 10156970664 is 46607965101.

10156970664 is a `hidden beast` number, since 10 + 1 + 569 + 70 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10152174564 + 4796100 = 100758^2 + 2190^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3480534 + ... + 3483450.

Almost surely, 210156970664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10156970664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13898638260).

10156970664 is an abundant number, since it is smaller than the sum of its proper divisors (17640305856).

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

10156970664 is a wasteful number, since it uses less digits than its factorization.

10156970664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3419 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 10156970664 in words is "ten billion, one hundred fifty-six million, nine hundred seventy thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 274 353 411 548 706 822 1059 1096 1233 1412 1644 2118 2466 2824 2917 3177 3288 4236 4932 5834 6354 8472 8751 9864 11668 12708 17502 23336 25416 26253 35004 48361 52506 70008 96722 105012 145083 193444 210024 290166 386888 399629 435249 580332 799258 870498 1029701 1160664 1198887 1598516 1740996 2059402 2397774 3089103 3197032 3481992 3596661 4118804 4795548 6178206 7193322 8237608 9267309 9591096 12356412 14386644 18534618 24712824 28773288 37069236 74138472 141069037 282138074 423207111 564276148 846414222 1128552296 1269621333 1692828444 2539242666 3385656888 5078485332 10156970664