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10052529768 = 2332139618469
BaseRepresentation
bin10010101110010110…
…10110111001101000
3221221120121102102100
421113023112321220
5131041421423033
64341300333400
7504053043651
oct112713267150
927846542370
1010052529768
114299433446
121b466a4260
13c42850188
146b5118528
153dc7d7513
hex2572d6e68

10052529768 has 24 divisors (see below), whose sum is σ = 27225601650. Its totient is φ = 3350843232.

The previous prime is 10052529761. The next prime is 10052529787. The reversal of 10052529768 is 86792525001.

10052529768 is a `hidden beast` number, since 1 + 0 + 0 + 52 + 529 + 76 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9081708804 + 970820964 = 95298^2 + 31158^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×100525297682 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10052529761) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69809163 + ... + 69809306.

Almost surely, 210052529768 is an apocalyptic number.

10052529768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10052529768 is an abundant number, since it is smaller than the sum of its proper divisors (17173071882).

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

10052529768 is a wasteful number, since it uses less digits than its factorization.

10052529768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139618481 (or 139618474 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 10052529768 in words is "ten billion, fifty-two million, five hundred twenty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139618469 279236938 418855407 558473876 837710814 1116947752 1256566221 1675421628 2513132442 3350843256 5026264884 10052529768