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116764507344 = 24317967147977
BaseRepresentation
bin110110010111110110…
…1001111110011010000
3102011101112000112222010
41230233231033303100
53403113203213334
6125350232342520
711302350636132
oct1545755176320
9364345015863
10116764507344
114557957a651
121a768244a40
13b01aa9c784
14591975d052
153085de60e9
hex1b2fb4fcd0

116764507344 has 80 divisors (see below), whose sum is σ = 319717715328. Its totient is φ = 36593872896.

The previous prime is 116764507339. The next prime is 116764507351. The reversal of 116764507344 is 443705467611.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 116764507293 and 116764507302.

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, 715084 + ... + 863060.

Almost surely, 2116764507344 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 116764507344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159858857664).

116764507344 is an abundant number, since it is smaller than the sum of its proper divisors (202953207984).

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

116764507344 is a wasteful number, since it uses less digits than its factorization.

116764507344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148972 (or 148966 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 116764507344 in words is "one hundred sixteen billion, seven hundred sixty-four million, five hundred seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 967 1934 2901 3868 5802 7736 11604 15472 16439 23208 32878 46416 49317 65756 98634 131512 147977 197268 263024 295954 394536 443931 591908 789072 887862 1183816 1775724 2367632 2515609 3551448 5031218 7102896 7546827 10062436 15093654 20124872 30187308 40249744 60374616 120749232 143093759 286187518 429281277 572375036 858562554 1144750072 1717125108 2289500144 2432593903 3434250216 4865187806 6868500432 7297781709 9730375612 14595563418 19460751224 29191126836 38921502448 58382253672 116764507344