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10399075488 = 253431129419
BaseRepresentation
bin10011010111101010…
…10100110010100000
3222211201200202210000
421223311110302200
5132244130403423
64435520140000
7515461453224
oct115365246240
928751622700
1010399075488
11445700936a
122022767600
13c99597009
14709166784
1540ce3c843
hex26bd54ca0

10399075488 has 120 divisors (see below), whose sum is σ = 31570197120. Its totient is φ = 3354514560.

The previous prime is 10399075487. The next prime is 10399075513. The reversal of 10399075488 is 88457099301.

10399075488 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 90 + 7 + 548 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10399075481) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15643 + ... + 145061.

It is an arithmetic number, because the mean of its divisors is an integer number (263084976).

Almost surely, 210399075488 is an apocalyptic number.

10399075488 is a gapful number since it is divisible by the number (18) 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 10399075488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15785098560).

10399075488 is an abundant number, since it is smaller than the sum of its proper divisors (21171121632).

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

10399075488 is a wasteful number, since it uses less digits than its factorization.

10399075488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129472 (or 129455 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 10399075488 in words is "ten billion, three hundred ninety-nine million, seventy-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 248 279 288 324 372 432 496 558 648 744 837 864 992 1116 1296 1488 1674 2232 2511 2592 2976 3348 4464 5022 6696 8928 10044 13392 20088 26784 40176 80352 129419 258838 388257 517676 776514 1035352 1164771 1553028 2070704 2329542 3106056 3494313 4011989 4141408 4659084 6212112 6988626 8023978 9318168 10482939 12035967 12424224 13977252 16047956 18636336 20965878 24071934 27954504 32095912 36107901 37272672 41931756 48143868 55909008 64191824 72215802 83863512 96287736 108323703 111818016 128383648 144431604 167727024 192575472 216647406 288863208 324971109 335454048 385150944 433294812 577726416 649942218 866589624 1155452832 1299884436 1733179248 2599768872 3466358496 5199537744 10399075488