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83096835744 = 25313105163353
BaseRepresentation
bin100110101100011110…
…1010001011010100000
321221111011100122000010
41031120331101122200
52330140242220434
6102101341324520
76001134310146
oct1153075213240
9257434318003
1083096835744
1132271aa766a
1214130b66740
137ab38c27c0
14404418b596
1522652de9e9
hex1358f516a0

83096835744 has 96 divisors (see below), whose sum is σ = 235135583424. Its totient is φ = 25543526400.

The previous prime is 83096835733. The next prime is 83096835751. The reversal of 83096835744 is 44753869038.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×830968357442 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1279972 + ... + 1343324.

It is an arithmetic number, because the mean of its divisors is an integer number (2449328994).

Almost surely, 283096835744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83096835744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117567791712).

83096835744 is an abundant number, since it is smaller than the sum of its proper divisors (152038747680).

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

83096835744 is a wasteful number, since it uses less digits than its factorization.

83096835744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64430 (or 64422 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 83096835744 in words is "eighty-three billion, ninety-six million, eight hundred thirty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1051 1248 2102 3153 4204 6306 8408 12612 13663 16816 25224 27326 33632 40989 50448 54652 63353 81978 100896 109304 126706 163956 190059 218608 253412 327912 380118 437216 506824 655824 760236 823589 1013648 1311648 1520472 1647178 2027296 2470767 3040944 3294356 4941534 6081888 6588712 9883068 13177424 19766136 26354848 39532272 66584003 79064544 133168006 199752009 266336012 399504018 532672024 799008036 865592039 1065344048 1598016072 1731184078 2130688096 2596776117 3196032144 3462368156 5193552234 6392064288 6924736312 10387104468 13849472624 20774208936 27698945248 41548417872 83096835744