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116240066720 = 25526311812339
BaseRepresentation
bin110110001000001110…
…0101010100010100000
3102010000222012012200022
41230100130222202200
53401024424113340
6125222220013012
711253352156541
oct1542034524240
9363028165608
10116240066720
114532a53a648
121a640691168
13ac6623ac8b
1458a9c444c8
153054d513b5
hex1b1072a8a0

116240066720 has 96 divisors (see below), whose sum is σ = 276012696960. Its totient is φ = 46260229120.

The previous prime is 116240066707. The next prime is 116240066749. The reversal of 116240066720 is 27660042611.

It is a super-2 number, since 2×1162400667202 (a number of 23 digits) contains 22 as substring.

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, 49695311 + ... + 49697649.

It is an arithmetic number, because the mean of its divisors is an integer number (2875132260).

Almost surely, 2116240066720 is an apocalyptic number.

116240066720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116240066720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138006348480).

116240066720 is an abundant number, since it is smaller than the sum of its proper divisors (159772630240).

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

116240066720 is a wasteful number, since it uses less digits than its factorization.

116240066720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3798 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 116240066720 in words is "one hundred sixteen billion, two hundred forty million, sixty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 263 526 1052 1181 1315 2104 2339 2362 2630 4208 4678 4724 5260 5905 8416 9356 9448 10520 11695 11810 18712 18896 21040 23390 23620 37424 37792 42080 46780 47240 74848 93560 94480 187120 188960 310603 374240 615157 621206 1230314 1242412 1553015 2460628 2484824 2762359 3075785 3106030 4921256 4969648 5524718 6151570 6212060 9842512 9939296 11049436 12303140 12424120 13811795 19685024 22098872 24606280 24848240 27623590 44197744 49212560 49696480 55247180 88395488 98425120 110494360 220988720 441977440 726500417 1453000834 2906001668 3632502085 5812003336 7265004170 11624006672 14530008340 23248013344 29060016680 58120033360 116240066720