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20624406544 = 24722322232
BaseRepresentation
bin10011001101010011…
…110111100000010000
31222020100110102000001
4103031103313200100
5314214322002134
613250312335344
71330043364100
oct231523674020
958210412001
1020624406544
118823a37995
123bb70a4554
131c38b6a571
14dd91c3200
1580a9aa414
hex4cd4f7810

20624406544 has 135 divisors (see below), whose sum is σ = 48811623903. Its totient is φ = 8416812096.

The previous prime is 20624406527. The next prime is 20624406581. The reversal of 20624406544 is 44560442602.

The square root of 20624406544 is 143612.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×206244065442 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 92486017 + ... + 92486239.

Almost surely, 220624406544 is an apocalyptic number.

20624406544 is the 143612-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20624406544

20624406544 is an abundant number, since it is smaller than the sum of its proper divisors (28187217359).

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

20624406544 is an equidigital number, since it uses as much as digits as its factorization.

20624406544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 37.

The spelling of 20624406544 in words is "twenty billion, six hundred twenty-four million, four hundred six thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 49 56 92 98 112 161 184 196 223 322 368 392 446 529 644 784 892 1058 1127 1288 1561 1784 2116 2254 2576 3122 3568 3703 4232 4508 5129 6244 7406 8464 9016 10258 10927 12488 14812 18032 20516 21854 24976 25921 29624 35903 41032 43708 49729 51842 59248 71806 82064 87416 99458 103684 117967 143612 174832 198916 207368 235934 251321 287224 348103 397832 414736 471868 502642 574448 696206 795664 825769 943736 1005284 1143767 1392412 1651538 1887472 2010568 2287534 2436721 2784824 3303076 4021136 4575068 4873442 5569648 5780383 6606152 8006369 9150136 9746884 11560766 13212304 16012738 18300272 19493768 23121532 26306641 32025476 38987536 46243064 52613282 56044583 64050952 92486128 105226564 112089166 128101904 184146487 210453128 224178332 368292974 420906256 448356664 736585948 896713328 1289025409 1473171896 2578050818 2946343792 5156101636 10312203272 20624406544