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10274924106 = 2325411055137
BaseRepresentation
bin10011001000110111…
…01110011001001010
3222112002002020002200
421210123232121022
5132020340032411
64415323141030
7512423261646
oct114433563112
928462066080
1010274924106
1143a2a21617
121ba9074776
13c79948665
146d6889c26
154020b6e56
hex2646ee64a

10274924106 has 24 divisors (see below), whose sum is σ = 22303507044. Its totient is φ = 3418640640.

The previous prime is 10274924071. The next prime is 10274924147. The reversal of 10274924106 is 60142947201.

It is a happy number.

10274924106 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 2 ways, for example, as 9585389025 + 689535081 = 97905^2 + 26259^2 .

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 11 ways as a sum of consecutive naturals, for example, 517831 + ... + 537306.

Almost surely, 210274924106 is an apocalyptic number.

10274924106 is an abundant number, since it is smaller than the sum of its proper divisors (12028582938).

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

10274924106 is a wasteful number, since it uses less digits than its factorization.

10274924106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055686 (or 1055683 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10274924106 in words is "ten billion, two hundred seventy-four million, nine hundred twenty-four thousand, one hundred six".

Divisors: 1 2 3 6 9 18 541 1082 1623 3246 4869 9738 1055137 2110274 3165411 6330822 9496233 18992466 570829117 1141658234 1712487351 3424974702 5137462053 10274924106