Search a number
-
+
10129446372 = 223844120531
BaseRepresentation
bin10010110111100001…
…10001010111100100
3222010221100012011110
421123300301113210
5131221114240442
64353045105020
7506005605423
oct113360612744
928127305143
1010129446372
114328898a91
121b683b8170
13c55770c66
146c141b2ba
153e442c69c
hex25bc315e4

10129446372 has 12 divisors (see below), whose sum is σ = 23635374896. Its totient is φ = 3376482120.

The previous prime is 10129446331. The next prime is 10129446373. The reversal of 10129446372 is 27364492101.

10129446372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a self number, because there is not a number n which added to its sum of digits gives 10129446372.

It is not an unprimeable number, because it can be changed into a prime (10129446373) 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 3 ways as a sum of consecutive naturals, for example, 422060254 + ... + 422060277.

Almost surely, 210129446372 is an apocalyptic number.

10129446372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10129446372 is an abundant number, since it is smaller than the sum of its proper divisors (13505928524).

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

10129446372 is a wasteful number, since it uses less digits than its factorization.

10129446372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844120538 (or 844120536 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 10129446372 in words is "ten billion, one hundred twenty-nine million, four hundred forty-six thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 844120531 1688241062 2532361593 3376482124 5064723186 10129446372