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113391807168 = 2631761956123
BaseRepresentation
bin110100110011010101…
…1011010101011000000
3101211200110200122002210
41221212223122223000
53324211300312133
6124031431542120
711122645313043
oct1514653325300
9354613618083
10113391807168
11440a87a0032
1219b8682a940
13a9011148b3
1456b985ac5a
152e39c82763
hex1a66adaac0

113391807168 has 112 divisors (see below), whose sum is σ = 318182670720. Its totient is φ = 35515797504.

The previous prime is 113391807163. The next prime is 113391807173. The reversal of 113391807168 is 861708193311.

It is a Cunningham number, because it is equal to 3367372-1.

It is an interprime number because it is at equal distance from previous prime (113391807163) and next prime (113391807173).

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

It is not an unprimeable number, because it can be changed into a prime (113391807163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1992355 + ... + 2048477.

Almost surely, 2113391807168 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 113391807168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159091335360).

113391807168 is an abundant number, since it is smaller than the sum of its proper divisors (204790863552).

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

113391807168 is a wasteful number, since it uses less digits than its factorization.

113391807168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56774 (or 56764 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The spelling of 113391807168 in words is "one hundred thirteen billion, three hundred ninety-one million, eight hundred seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 619 816 1088 1238 1632 1857 2476 3264 3714 4952 7428 9904 10523 14856 19808 21046 29712 31569 39616 42092 56123 59424 63138 84184 112246 118848 126276 168368 168369 224492 252552 336736 336738 448984 505104 673472 673476 897968 954091 1010208 1346952 1795936 1908182 2020416 2693904 2862273 3591872 3816364 5387808 5724546 7632728 10775616 11449092 15265456 22898184 30530912 34740137 45796368 61061824 69480274 91592736 104220411 138960548 183185472 208440822 277921096 416881644 555842192 590582329 833763288 1111684384 1181164658 1667526576 1771746987 2223368768 2362329316 3335053152 3543493974 4724658632 6670106304 7086987948 9449317264 14173975896 18898634528 28347951792 37797269056 56695903584 113391807168