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10254834132 = 2235933143759
BaseRepresentation
bin10011000110011110…
…00101100111010100
3222110200021112211120
421203033011213110
5132000214143012
64413324403540
7512060436414
oct114317054724
928420245746
1010254834132
11439264a734
121ba23a65b0
13c757332ba
146d3d3a644
1540044958c
hex2633c59d4

10254834132 has 48 divisors (see below), whose sum is σ = 24407577600. Its totient is φ = 3350112480.

The previous prime is 10254834127. The next prime is 10254834137. The reversal of 10254834132 is 23143845201.

10254834132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10254834127) and next prime (10254834137).

It is a junction number, because it is equal to n+sod(n) for n = 10254834093 and 10254834102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10254834137) 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 15 ways as a sum of consecutive naturals, for example, 212469 + ... + 256227.

It is an arithmetic number, because the mean of its divisors is an integer number (508491200).

Almost surely, 210254834132 is an apocalyptic number.

10254834132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10254834132 is an abundant number, since it is smaller than the sum of its proper divisors (14152743468).

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

10254834132 is a wasteful number, since it uses less digits than its factorization.

10254834132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44156 (or 44154 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 10254834132 in words is "ten billion, two hundred fifty-four million, eight hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 59 118 177 236 331 354 662 708 993 1324 1986 3972 19529 39058 43759 58587 78116 87518 117174 131277 175036 234348 262554 525108 2581781 5163562 7745343 10327124 14484229 15490686 28968458 30981372 43452687 57936916 86905374 173810748 854569511 1709139022 2563708533 3418278044 5127417066 10254834132