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96517295488 = 277113181071
BaseRepresentation
bin101100111100011100…
…0010000110110000000
3100020010110022121210201
41121320320100312000
53040131411423423
6112201152334544
76654534322015
oct1317070206600
9306113277721
1096517295488
1137a29551709
1216857544454
13914211a543
1449586c570c
15279d5e72ad
hex1678e10d80

96517295488 has 64 divisors (see below), whose sum is σ = 196479613440. Its totient is φ = 47215168000.

The previous prime is 96517295467. The next prime is 96517295527. The reversal of 96517295488 is 88459271569.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1149993 + ... + 1231063.

It is an arithmetic number, because the mean of its divisors is an integer number (3069993960).

Almost surely, 296517295488 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 96517295488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98239806720).

96517295488 is an abundant number, since it is smaller than the sum of its proper divisors (99962317952).

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

96517295488 is a wasteful number, since it uses less digits than its factorization.

96517295488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81287 (or 81275 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 64.

The spelling of 96517295488 in words is "ninety-six billion, five hundred seventeen million, two hundred ninety-five thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 71 128 131 142 262 284 524 568 1048 1136 2096 2272 4192 4544 8384 9088 9301 16768 18602 37204 74408 81071 148816 162142 297632 324284 595264 648568 1190528 1297136 2594272 5188544 5756041 10377088 10620301 11512082 21240602 23024164 42481204 46048328 84962408 92096656 169924816 184193312 339849632 368386624 679699264 736773248 754041371 1359398528 1508082742 3016165484 6032330968 12064661936 24129323872 48258647744 96517295488