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10145818676 = 227251764381
BaseRepresentation
bin10010111001011110…
…01110100000110100
3222012002010222202002
421130233032200310
5131234312144201
64354432034432
7506265015200
oct113457164064
928162128662
1010145818676
114337060814
121b71992a18
13c58c84106
146c367db00
153e5ab376b
hex25cbce834

10145818676 has 18 divisors (see below), whose sum is σ = 20653988418. Its totient is φ = 4348207920.

The previous prime is 10145818667. The next prime is 10145818679. The reversal of 10145818676 is 67681854101.

It is a happy number.

10145818676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9785957776 + 359860900 = 98924^2 + 18970^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10145818676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145818679) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 25881995 + ... + 25882386.

It is an arithmetic number, because the mean of its divisors is an integer number (1147443801).

Almost surely, 210145818676 is an apocalyptic number.

It is an amenable number.

10145818676 is an abundant number, since it is smaller than the sum of its proper divisors (10508169742).

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

10145818676 is a wasteful number, since it uses less digits than its factorization.

10145818676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51764399 (or 51764390 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 47.

The spelling of 10145818676 in words is "ten billion, one hundred forty-five million, eight hundred eighteen thousand, six hundred seventy-six".

Divisors: 1 2 4 7 14 28 49 98 196 51764381 103528762 207057524 362350667 724701334 1449402668 2536454669 5072909338 10145818676