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116160011616 = 253113909091
BaseRepresentation
bin110110000101110101…
…1010001110101100000
3102002211101112222201110
41230023223101311200
53400343430332431
6125210240103320
711251360543665
oct1541353216540
9362741488643
10116160011616
1145299331000
121a619904b40
13ac5278b7ac
14589d365a6c
15304ccdb346
hex1b0bad1d60

116160011616 has 96 divisors (see below), whose sum is σ = 335389493376. Its totient is φ = 35199964800.

The previous prime is 116160011587. The next prime is 116160011633. The reversal of 116160011616 is 616110061611.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326770 + ... + 582321.

It is an arithmetic number, because the mean of its divisors is an integer number (3493640556).

Almost surely, 2116160011616 is an apocalyptic number.

116160011616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

116160011616 is an abundant number, since it is smaller than the sum of its proper divisors (219229481760).

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

116160011616 is an equidigital number, since it uses as much as digits as its factorization.

116160011616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909137 (or 909107 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

It can be divided in two parts, 1161600 and 11616, that multiplied together give a square (13493145600 = 1161602).

The spelling of 116160011616 in words is "one hundred sixteen billion, one hundred sixty million, eleven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1331 1452 1936 2662 2904 3872 3993 5324 5808 7986 10648 11616 15972 21296 31944 42592 63888 127776 909091 1818182 2727273 3636364 5454546 7272728 10000001 10909092 14545456 20000002 21818184 29090912 30000003 40000004 43636368 60000006 80000008 87272736 110000011 120000012 160000016 220000022 240000024 320000032 330000033 440000044 480000048 660000066 880000088 960000096 1210000121 1320000132 1760000176 2420000242 2640000264 3520000352 3630000363 4840000484 5280000528 7260000726 9680000968 10560001056 14520001452 19360001936 29040002904 38720003872 58080005808 116160011616