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10131674076 = 2236171931347
BaseRepresentation
bin10010110111110010…
…10001001111011100
3222011002112101000000
421123321101033130
5131222202032301
64353204534300
7506033544246
oct113371211734
928132471000
1010131674076
11432a07a767
121b690b1390
13c56070c24
146c183b096
153e471c786
hex25be513dc

10131674076 has 336 divisors, whose sum is σ = 30672552960. Its totient is φ = 2905735680.

The previous prime is 10131674053. The next prime is 10131674099. The reversal of 10131674076 is 67047613101.

It is an interprime number because it is at equal distance from previous prime (10131674053) and next prime (10131674099).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10131674076.

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 29197735 + ... + 29198081.

It is an arithmetic number, because the mean of its divisors is an integer number (91287360).

Almost surely, 210131674076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131674076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15336276480).

10131674076 is an abundant number, since it is smaller than the sum of its proper divisors (20540878884).

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

10131674076 is a wasteful number, since it uses less digits than its factorization.

10131674076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 10131674076 in words is "ten billion, one hundred thirty-one million, six hundred seventy-four thousand, seventy-six".