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45418920930 = 23251574676883
BaseRepresentation
bin101010010011001011…
…011011101111100010
311100020022201020112200
4222103023123233202
51221004220432210
632510513034030
73165344313045
oct522313335742
9140208636480
1045418920930
1118297884599
128976855916
13438a948956
1422ac15ac5c
1512ac5dd0c0
hexa932dbbe2

45418920930 has 96 divisors (see below), whose sum is σ = 119113136064. Its totient is φ = 12007052928.

The previous prime is 45418920929. The next prime is 45418920931. The reversal of 45418920930 is 3902981454.

45418920930 is a `hidden beast` number, since 4 + 541 + 89 + 20 + 9 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45418920929) and next prime (45418920931).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (45418920931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6595269 + ... + 6602151.

It is an arithmetic number, because the mean of its divisors is an integer number (1240761834).

Almost surely, 245418920930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45418920930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59556568032).

45418920930 is an abundant number, since it is smaller than the sum of its proper divisors (73694215134).

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

45418920930 is a wasteful number, since it uses less digits than its factorization.

45418920930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7520 (or 7517 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 45418920930 in words is "forty-five billion, four hundred eighteen million, nine hundred twenty thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 157 314 467 471 785 934 942 1401 1413 1570 2335 2355 2802 2826 4203 4670 4710 6883 7005 7065 8406 13766 14010 14130 20649 21015 34415 41298 42030 61947 68830 73319 103245 123894 146638 206490 219957 309735 366595 439914 619470 659871 733190 1080631 1099785 1319742 2161262 2199570 3214361 3241893 3299355 5403155 6428722 6483786 6598710 9643083 9725679 10806310 16071805 16209465 19286166 19451358 28929249 32143610 32418930 48215415 48628395 57858498 96430830 97256790 144646245 289292490 504654677 1009309354 1513964031 2523273385 3027928062 4541892093 5046546770 7569820155 9083784186 15139640310 22709460465 45418920930