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952952000952 = 233717219627451
BaseRepresentation
bin11011101111000000101…
…11011001000110111000
310101002201212022102212210
431313200113121012320
5111103121203012302
62005440300335120
7125564016234030
oct15674027310670
93332655272783
10952952000952
11338165619956
121348318444a0
136bb2aca5953
14341a1bc68c0
1519bc613366c
hexdde05d91b8

952952000952 has 96 divisors (see below), whose sum is σ = 2892301326720. Its totient is φ = 256255987200.

The previous prime is 952952000951. The next prime is 952952000981. The reversal of 952952000952 is 259000259259.

It is a super-2 number, since 2×9529520009522 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (952952000951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9765174 + ... + 9862277.

It is an arithmetic number, because the mean of its divisors is an integer number (30128138820).

Almost surely, 2952952000952 is an apocalyptic number.

It is an amenable number.

952952000952 is an abundant number, since it is smaller than the sum of its proper divisors (1939349325768).

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

952952000952 is a wasteful number, since it uses less digits than its factorization.

952952000952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19627501 (or 19627480 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 48.

The spelling of 952952000952 in words is "nine hundred fifty-two billion, nine hundred fifty-two million, nine hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 289 357 408 476 578 714 867 952 1156 1428 1734 2023 2312 2856 3468 4046 6069 6936 8092 12138 16184 24276 48552 19627451 39254902 58882353 78509804 117764706 137392157 157019608 235529412 274784314 333666667 412176471 471058824 549568628 667333334 824352942 1001000001 1099137256 1334666668 1648705884 2002000002 2335666669 2669333336 3297411768 4004000004 4671333338 5672333339 7007000007 8008000008 9342666676 11344666678 14014000014 17017000017 18685333352 22689333356 28028000028 34034000034 39706333373 45378666712 56056000056 68068000068 79412666746 119119000119 136136000136 158825333492 238238000238 317650666984 476476000476 952952000952