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112560587472 = 2432988391577
BaseRepresentation
bin110100011010100100…
…0100100001011010000
3101202112112121022001010
41220311020210023100
53321011002244342
6123413140010520
711063233131024
oct1506510441320
9352475538033
10112560587472
1143811576403
1219994390a40
13a7cab50818
14563b2c6384
152ddbce029c
hex1a352242d0

112560587472 has 80 divisors (see below), whose sum is σ = 301152421440. Its totient is φ = 36184974336.

The previous prime is 112560587471. The next prime is 112560587509. The reversal of 112560587472 is 274785065211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112560587471) 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, 1183348 + ... + 1274924.

It is an arithmetic number, because the mean of its divisors is an integer number (3764405268).

Almost surely, 2112560587472 is an apocalyptic number.

112560587472 is a gapful number since it is divisible by the number (12) 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 112560587472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150576210720).

112560587472 is an abundant number, since it is smaller than the sum of its proper divisors (188591833968).

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

112560587472 is a wasteful number, since it uses less digits than its factorization.

112560587472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92500 (or 92494 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The spelling of 112560587472 in words is "one hundred twelve billion, five hundred sixty million, five hundred eighty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 883 1392 1766 2649 3532 5298 7064 10596 14128 21192 25607 42384 51214 76821 91577 102428 153642 183154 204856 274731 307284 366308 409712 549462 614568 732616 1098924 1229136 1465232 2197848 2655733 4395696 5311466 7967199 10622932 15934398 21245864 31868796 42491728 63737592 80862491 127475184 161724982 242587473 323449964 485174946 646899928 970349892 1293799856 1940699784 2345012239 3881399568 4690024478 7035036717 9380048956 14070073434 18760097912 28140146868 37520195824 56280293736 112560587472