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621252934416 = 243219234572
BaseRepresentation
bin10010000101001011000…
…11110111101100010000
32012101120011222222122100
421002211203313230100
540134311222400131
61153222154240400
762612140545642
oct11024543675420
92171504888570
10621252934416
1121a5210a3804
12a04a0426100
1346778aa154a
14220d6b18892
1511260acd7e6
hex90a58f7b10

621252934416 has 135 divisors (see below), whose sum is σ = 1835500159701. Its totient is φ = 196128387072.

The previous prime is 621252934331. The next prime is 621252934441. The reversal of 621252934416 is 614439252126.

The square root of 621252934416 is 788196.

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

621252934416 is a `hidden beast` number, since 62 + 12 + 52 + 93 + 441 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8952944400 + 612299990016 = 94620^2 + 782496^2 .

It is a super-2 number, since 2×6212529344162 (a number of 24 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, 179706960 + ... + 179710416.

Almost surely, 2621252934416 is an apocalyptic number.

621252934416 is the 788196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 621252934416

621252934416 is an abundant number, since it is smaller than the sum of its proper divisors (1214247225285).

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

621252934416 is an equidigital number, since it uses as much as digits as its factorization.

621252934416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6966 (or 3481 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 621252934416 in words is "six hundred twenty-one billion, two hundred fifty-two million, nine hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 361 456 684 722 912 1083 1368 1444 2166 2736 2888 3249 3457 4332 5776 6498 6914 8664 10371 12996 13828 17328 20742 25992 27656 31113 41484 51984 55312 62226 65683 82968 124452 131366 165936 197049 248904 262732 394098 497808 525464 591147 788196 1050928 1182294 1247977 1576392 2364588 2495954 3152784 3743931 4729176 4991908 7487862 9458352 9983816 11231793 11950849 14975724 19967632 22463586 23901698 29951448 35852547 44927172 47803396 59902896 71705094 89854344 95606792 107557641 143410188 179708688 191213584 215115282 227066131 286820376 430230564 454132262 573640752 681198393 860461128 908264524 1362396786 1720922256 1816529048 2043595179 2724793572 3633058096 4087190358 4314256489 5449587144 8174380716 8628512978 10899174288 12942769467 16348761432 17257025956 25885538934 32697522864 34514051912 38828308401 51771077868 69028103824 77656616802 103542155736 155313233604 207084311472 310626467208 621252934416