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10139613996961 = 397148131724201
BaseRepresentation
bin1001001110001101000000…
…0101110010011110100001
31022220100010010121010221201
42103203100011302132201
52312111412140400321
633322024021321201
72064364041626311
oct223432005623641
938810103533851
1010139613996961
11325a205842389
121179160266201
13587213a69b47
14270a8d39b441
15128b4bd18291
hex938d01727a1

10139613996961 has 8 divisors (see below), whose sum is σ = 10165846714344. Its totient is φ = 10113384758400.

The previous prime is 10139613996931. The next prime is 10139613996997. The reversal of 10139613996961 is 16969931693101.

It can be written as a sum of positive squares in 4 ways, for example, as 40343132736 + 10099270864225 = 200856^2 + 3177935^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10139613996961 is a prime.

It is a super-2 number, since 2×101396139969612 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10139613996893 and 10139613996902.

It is not an unprimeable number, because it can be changed into a prime (10139613996931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5018661 + ... + 6742861.

It is an arithmetic number, because the mean of its divisors is an integer number (1270730839293).

Almost surely, 210139613996961 is an apocalyptic number.

It is an amenable number.

10139613996961 is a deficient number, since it is larger than the sum of its proper divisors (26232717383).

10139613996961 is a wasteful number, since it uses less digits than its factorization.

10139613996961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739411.

The product of its (nonzero) digits is 12754584, while the sum is 64.

The spelling of 10139613996961 in words is "ten trillion, one hundred thirty-nine billion, six hundred thirteen million, nine hundred ninety-six thousand, nine hundred sixty-one".

Divisors: 1 397 14813 1724201 5880761 684507797 25540589413 10139613996961