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10400231232 = 263239745481
BaseRepresentation
bin10011010111110011…
…01110111101000000
3222211210212111011100
421223321232331000
5132244424344412
64440001014400
7515504335566
oct115371567500
928753774140
1010400231232
114457728726
122023024400
13c998b00a1
14709387a36
1540d0b9edc
hex26be6ef40

10400231232 has 84 divisors (see below), whose sum is σ = 29886131236. Its totient is φ = 3457935360.

The previous prime is 10400231213. The next prime is 10400231269. The reversal of 10400231232 is 23213200401.

10400231232 is a `hidden beast` number, since 1 + 0 + 400 + 2 + 31 + 232 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2772654336 + 7627576896 = 52656^2 + 87336^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 205932 + ... + 251412.

Almost surely, 210400231232 is an apocalyptic number.

10400231232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10400231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14943065618).

10400231232 is an abundant number, since it is smaller than the sum of its proper divisors (19485900004).

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

10400231232 is a wasteful number, since it uses less digits than its factorization.

10400231232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45896 (or 45883 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10400231232 its reverse (23213200401), we get a palindrome (33613431633).

The spelling of 10400231232 in words is "ten billion, four hundred million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 397 576 794 1191 1588 2382 3176 3573 4764 6352 7146 9528 12704 14292 19056 25408 28584 38112 45481 57168 76224 90962 114336 136443 181924 228672 272886 363848 409329 545772 727696 818658 1091544 1455392 1637316 2183088 2910784 3274632 4366176 6549264 8732352 13098528 18055957 26197056 36111914 54167871 72223828 108335742 144447656 162503613 216671484 288895312 325007226 433342968 577790624 650014452 866685936 1155581248 1300028904 1733371872 2600057808 3466743744 5200115616 10400231232