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77990615824 = 241145772
BaseRepresentation
bin100100010100010011…
…0100101101100010000
321110022022002210002211
41020220212211230100
52234211044201244
655454533321504
75430452203462
oct1105046455420
9243268083084
1077990615824
1130091740000
1213146a96294
13747ba532b4
143abbd5a132
152066da5934
hex12289a5b10

77990615824 has 75 divisors (see below), whose sum is σ = 166505037285. Its totient is φ = 35388840960.

The previous prime is 77990615803. The next prime is 77990615837. The reversal of 77990615824 is 42851609977.

The square root of 77990615824 is 279268.

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

It can be written as a sum of positive squares in only one way, i.e., 77450890000 + 539725824 = 278300^2 + 23232^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 135165424 + ... + 135166000.

Almost surely, 277990615824 is an apocalyptic number.

77990615824 is the 279268-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77990615824

77990615824 is an abundant number, since it is smaller than the sum of its proper divisors (88514421461).

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

77990615824 is an frugal number, since it uses more digits than its factorization.

77990615824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 58.

The spelling of 77990615824 in words is "seventy-seven billion, nine hundred ninety million, six hundred fifteen thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 577 968 1154 1331 1936 2308 2662 4616 5324 6347 9232 10648 12694 14641 21296 25388 29282 50776 58564 69817 101552 117128 139634 234256 279268 332929 558536 665858 767987 1117072 1331716 1535974 2663432 3071948 3662219 5326864 6143896 7324438 8447857 12287792 14648876 16895714 29297752 33791428 40284409 58595504 67582856 80568818 135165712 161137636 322275272 443128499 644550544 886256998 1772513996 3545027992 4874413489 7090055984 9748826978 19497653956 38995307912 77990615824