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103957397824 = 267298001647
BaseRepresentation
bin110000011010001011…
…0000000000101000000
3100221022222011222111111
41200310112000011000
53200401043212244
6115431331453104
710340106205330
oct1406426000500
9327288158444
10103957397824
11400a7271715
1218193157194
139a59666067
1450628850c0
152a86896e34
hex1834580140

103957397824 has 56 divisors (see below), whose sum is σ = 243890231040. Its totient is φ = 43016848896.

The previous prime is 103957397821. The next prime is 103957397879. The reversal of 103957397824 is 428793759301.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103957397821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3987832 + ... + 4013815.

Almost surely, 2103957397824 is an apocalyptic number.

103957397824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103957397824 is an abundant number, since it is smaller than the sum of its proper divisors (139932833216).

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

103957397824 is an equidigital number, since it uses as much as digits as its factorization.

103957397824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8001695 (or 8001685 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 58.

The spelling of 103957397824 in words is "one hundred three billion, nine hundred fifty-seven million, three hundred ninety-seven thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 812 928 1624 1856 3248 6496 12992 8001647 16003294 32006588 56011529 64013176 112023058 128026352 224046116 232047763 256052704 448092232 464095526 512105408 896184464 928191052 1624334341 1792368928 1856382104 3248668682 3584737856 3712764208 6497337364 7425528416 12994674728 14851056832 25989349456 51978698912 103957397824