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116905048704 = 2732293499313
BaseRepresentation
bin110110011100000010…
…1010111101010000000
3102011202022110210110200
41230320011113222000
53403410143024304
6125412212525200
711306005342533
oct1547005275200
9364668423420
10116905048704
1145640941434
121a7a7320800
13b040c39342
1459302a4a1a
153093407e39
hex1b38157a80

116905048704 has 96 divisors (see below), whose sum is σ = 348006777300. Its totient is φ = 37624602624.

The previous prime is 116905048703. The next prime is 116905048727. The reversal of 116905048704 is 407840509611.

116905048704 is a `hidden beast` number, since 1 + 1 + 69 + 0 + 504 + 87 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102302743104 + 14602305600 = 319848^2 + 120840^2 .

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

It is a super-2 number, since 2×1169050487042 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 116905048704.

It is not an unprimeable number, because it can be changed into a prime (116905048703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1716249 + ... + 1783064.

Almost surely, 2116905048704 is an apocalyptic number.

It is an amenable number.

116905048704 is an abundant number, since it is smaller than the sum of its proper divisors (231101728596).

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

116905048704 is a wasteful number, since it uses less digits than its factorization.

116905048704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3499362 (or 3499347 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 116905048704 in words is "one hundred sixteen billion, nine hundred five million, forty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 696 928 1044 1152 1392 1856 2088 2784 3712 4176 5568 8352 11136 16704 33408 3499313 6998626 10497939 13997252 20995878 27994504 31493817 41991756 55989008 62987634 83983512 101480077 111978016 125975268 167967024 202960154 223956032 251950536 304440231 335934048 405920308 447912064 503901072 608880462 671868096 811840616 913320693 1007802144 1217760924 1343736192 1623681232 1826641386 2015604288 2435521848 3247362464 3653282772 4031208576 4871043696 6494724928 7306565544 9742087392 12989449856 14613131088 19484174784 29226262176 38968349568 58452524352 116905048704