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116414013632 = 267318181689
BaseRepresentation
bin110110001101011010…
…0001110000011000000
3102010111002111121222112
41230122310032003000
53401403441414012
6125251352154452
711260563534440
oct1543264160300
9363432447875
10116414013632
1145409748524
121a68a998a28
13ac932a2947
1458c4da4120
153065261122
hex1b1ad0e0c0

116414013632 has 56 divisors (see below), whose sum is σ = 264096581280. Its totient is φ = 49875425280.

The previous prime is 116414013577. The next prime is 116414013643. The reversal of 116414013632 is 236310414611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1164140136322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 1384244 + ... + 1465932.

It is an arithmetic number, because the mean of its divisors is an integer number (4716010380).

Almost surely, 2116414013632 is an apocalyptic number.

It is an amenable number.

116414013632 is an abundant number, since it is smaller than the sum of its proper divisors (147682567648).

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

116414013632 is an equidigital number, since it uses as much as digits as its factorization.

116414013632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84889 (or 84879 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 116414013632 in words is "one hundred sixteen billion, four hundred fourteen million, thirteen thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 3181 6362 12724 22267 25448 44534 50896 81689 89068 101792 163378 178136 203584 326756 356272 571823 653512 712544 1143646 1307024 1425088 2287292 2614048 4574584 5228096 9149168 18298336 36596672 259852709 519705418 1039410836 1818968963 2078821672 3637937926 4157643344 7275875852 8315286688 14551751704 16630573376 29103503408 58207006816 116414013632