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96038921016 = 233219118893697
BaseRepresentation
bin101100101110001011…
…1011010001100111000
3100011220010011200101200
41121130113122030320
53033141430433031
6112041503214200
76636635234163
oct1313427321470
9304803150350
1096038921016
1137803515905
12167432a7360
139096c9771c
144910d5cada
1527716018e6
hex165c5da338

96038921016 has 96 divisors (see below), whose sum is σ = 261676396800. Its totient is φ = 31819898880.

The previous prime is 96038920973. The next prime is 96038921039. The reversal of 96038921016 is 61012983069.

It is a happy number.

96038921016 is a `hidden beast` number, since 9 + 603 + 8 + 9 + 21 + 0 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25975680 + ... + 25979376.

It is an arithmetic number, because the mean of its divisors is an integer number (2725795800).

Almost surely, 296038921016 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 96038921016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130838198400).

96038921016 is an abundant number, since it is smaller than the sum of its proper divisors (165637475784).

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

96038921016 is a wasteful number, since it uses less digits than its factorization.

96038921016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5789 (or 5782 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 96038921016 in words is "ninety-six billion, thirty-eight million, nine hundred twenty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 191 382 573 764 1146 1528 1719 1889 2292 3438 3697 3778 4584 5667 6876 7394 7556 11091 11334 13752 14788 15112 17001 22182 22668 29576 33273 34002 44364 45336 66546 68004 88728 133092 136008 266184 360799 706127 721598 1082397 1412254 1443196 2118381 2164794 2824508 2886392 3247191 4236762 4329588 5649016 6355143 6494382 6983633 8473524 8659176 12710286 12988764 13967266 16947048 20950899 25420572 25977528 27934532 41901798 50841144 55869064 62852697 83803596 125705394 167607192 251410788 502821576 1333873903 2667747806 4001621709 5335495612 8003243418 10670991224 12004865127 16006486836 24009730254 32012973672 48019460508 96038921016