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10052006516 = 226737507487
BaseRepresentation
bin10010101110010010…
…10111001001110100
3221221112121211122122
421113021113021310
5131041303202031
64341241215112
7504045434306
oct112711271164
927845554578
1010052006516
114299106302
121b46491498
13c426c8c66
146b501d976
153dc73247b
hex257257274

10052006516 has 12 divisors (see below), whose sum is σ = 17853564288. Its totient is φ = 4950988152.

The previous prime is 10052006507. The next prime is 10052006521. The reversal of 10052006516 is 61560025001.

10052006516 is nontrivially palindromic in base 3.

10052006516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×100520065163 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 18753476 + ... + 18754011.

It is an arithmetic number, because the mean of its divisors is an integer number (1487797024).

Almost surely, 210052006516 is an apocalyptic number.

It is an amenable number.

10052006516 is a deficient number, since it is larger than the sum of its proper divisors (7801557772).

10052006516 is a wasteful number, since it uses less digits than its factorization.

10052006516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37507558 (or 37507556 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The spelling of 10052006516 in words is "ten billion, fifty-two million, six thousand, five hundred sixteen".

Divisors: 1 2 4 67 134 268 37507487 75014974 150029948 2513001629 5026003258 10052006516