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96696829056 = 2731721974423
BaseRepresentation
bin101101000001110010…
…1001000010010000000
3100020120222010212120010
41122003211020102000
53041013342012211
6112231044344520
76662144325342
oct1320345102200
9306528125503
1096696829056
1138010925963
12168a76a5140
13917038a019
14497449b292
1527ae25c4a6
hex1683948480

96696829056 has 192 divisors, whose sum is σ = 274295609280. Its totient is φ = 30175444992.

The previous prime is 96696829049. The next prime is 96696829123. The reversal of 96696829056 is 65092869669.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×966968290562 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21860061 + ... + 21864483.

It is an arithmetic number, because the mean of its divisors is an integer number (1428622965).

Almost surely, 296696829056 is an apocalyptic number.

96696829056 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96696829056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137147804640).

96696829056 is an abundant number, since it is smaller than the sum of its proper divisors (177598780224).

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

96696829056 is a wasteful number, since it uses less digits than its factorization.

96696829056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4671 (or 4642 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 66.

The spelling of 96696829056 in words is "ninety-six billion, six hundred ninety-six million, eight hundred twenty-nine thousand, fifty-six".