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112452073136 = 24137120533709
BaseRepresentation
bin110100010111010101…
…0100111011010110000
3101202020222102012100122
41220232222213122300
53320300212320021
6123354302105412
711060444564504
oct1505652473260
9352228365318
10112452073136
1143766299a37
1219963b7b268
13a7b1518760
14562ab1a304
152dd2507bab
hex1a2eaa76b0

112452073136 has 80 divisors (see below), whose sum is σ = 238120384320. Its totient is φ = 51131243520.

The previous prime is 112452073079. The next prime is 112452073157. The reversal of 112452073136 is 631370254211.

It is a junction number, because it is equal to n+sod(n) for n = 112452073096 and 112452073105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30316850 + ... + 30320558.

It is an arithmetic number, because the mean of its divisors is an integer number (2976504804).

Almost surely, 2112452073136 is an apocalyptic number.

112452073136 is a gapful number since it is divisible by the number (16) 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 112452073136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119060192160).

112452073136 is an abundant number, since it is smaller than the sum of its proper divisors (125668311184).

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

112452073136 is a wasteful number, since it uses less digits than its factorization.

112452073136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5854 (or 5848 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 112452073136 in words is "one hundred twelve billion, four hundred fifty-two million, seventy-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 71 104 142 208 284 568 923 1136 1846 2053 3692 3709 4106 7384 7418 8212 14768 14836 16424 26689 29672 32848 48217 53378 59344 96434 106756 145763 192868 213512 263339 291526 385736 427024 526678 583052 771472 1053356 1166104 1894919 2106712 2332208 3423407 3789838 4213424 6846814 7579676 7614577 13693628 15159352 15229154 27387256 30318704 30458308 54774512 60916616 98989501 121833232 197979002 395958004 540634967 791916008 1081269934 1583832016 2162539868 4325079736 7028254571 8650159472 14056509142 28113018284 56226036568 112452073136