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10052006514 = 2311213845739
BaseRepresentation
bin10010101110010010…
…10111001001110010
3221221112121211122120
421113021113021302
5131041303202024
64341241215110
7504045434304
oct112711271162
927845554576
1010052006514
114299106300
121b46491496
13c426c8c64
146b501d974
153dc732479
hex257257272

10052006514 has 24 divisors (see below), whose sum is σ = 22097801040. Its totient is φ = 3046062360.

The previous prime is 10052006507. The next prime is 10052006521. The reversal of 10052006514 is 41560025001.

10052006514 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10052006507) and next prime (10052006521).

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 11 ways as a sum of consecutive naturals, for example, 6922144 + ... + 6923595.

It is an arithmetic number, because the mean of its divisors is an integer number (920741710).

Almost surely, 210052006514 is an apocalyptic number.

10052006514 is an abundant number, since it is smaller than the sum of its proper divisors (12045794526).

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

10052006514 is a wasteful number, since it uses less digits than its factorization.

10052006514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13845766 (or 13845755 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 10052006514 in words is "ten billion, fifty-two million, six thousand, five hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 13845739 27691478 41537217 83074434 152303129 304606258 456909387 913818774 1675334419 3350668838 5026003257 10052006514