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83928407616 = 2632120712
BaseRepresentation
bin100111000101010000…
…1011101111001000000
322000122010002212011100
41032022201131321000
52333341133020431
6102320045014400
76030552460014
oct1161241357100
9260563085140
1083928407616
1132659441949
1214323554400
137bb6c7ac71
1440c27b4544
1522b33014e6
hex138a85de40

83928407616 has 63 divisors (see below), whose sum is σ = 240585557563. Its totient is φ = 27973818240.

The previous prime is 83928407611. The next prime is 83928407621. The reversal of 83928407616 is 61670482938.

The square root of 83928407616 is 289704.

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

It is an interprime number because it is at equal distance from previous prime (83928407611) and next prime (83928407621).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83928407611) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6946861 + ... + 6958931.

Almost surely, 283928407616 is an apocalyptic number.

83928407616 is the 289704-th square number.

It is an amenable number.

83928407616 is an abundant number, since it is smaller than the sum of its proper divisors (156657149947).

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

83928407616 is an frugal number, since it uses more digits than its factorization.

83928407616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24160 (or 12076 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 83928407616 in words is "eighty-three billion, nine hundred twenty-eight million, four hundred seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 12071 24142 36213 48284 72426 96568 108639 144852 193136 217278 289704 386272 434556 579408 772544 869112 1158816 1738224 2317632 3476448 6952896 145709041 291418082 437127123 582836164 874254246 1165672328 1311381369 1748508492 2331344656 2622762738 3497016984 4662689312 5245525476 6994033968 9325378624 10491050952 13988067936 20982101904 27976135872 41964203808 83928407616