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112071719928 = 23371995935653
BaseRepresentation
bin110100001011111111…
…1101011101111111000
3101201021110201020211210
41220113333223233320
53314010330014203
6123252433523120
711045145621150
oct1502777535770
9351243636753
10112071719928
1143590622a43
12198787134a0
13a75079589c
1455d23cb760
152dade25803
hex1a17febbf8

112071719928 has 128 divisors (see below), whose sum is σ = 322413696000. Its totient is φ = 31800231936.

The previous prime is 112071719923. The next prime is 112071719951. The reversal of 112071719928 is 829917170211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112071719923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19822350 + ... + 19828002.

It is an arithmetic number, because the mean of its divisors is an integer number (2518857000).

Almost surely, 2112071719928 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 112071719928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161206848000).

112071719928 is an abundant number, since it is smaller than the sum of its proper divisors (210341976072).

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

112071719928 is a wasteful number, since it uses less digits than its factorization.

112071719928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6461 (or 6457 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 48.

The spelling of 112071719928 in words is "one hundred twelve billion, seventy-one million, seven hundred nineteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 199 398 593 597 796 1186 1194 1393 1592 1779 2372 2388 2786 3558 4151 4179 4744 4776 5572 5653 7116 8302 8358 11144 11306 12453 14232 16604 16716 16959 22612 24906 33208 33432 33918 39571 45224 49812 67836 79142 99624 118007 118713 135672 158284 236014 237426 316568 354021 472028 474852 708042 826049 944056 949704 1124947 1416084 1652098 2249894 2478147 2832168 3304196 3352229 3374841 4499788 4956294 6608392 6704458 6749682 7874629 8999576 9912588 10056687 13408916 13499364 15749258 19825176 20113374 23465603 23623887 26817832 26998728 31498516 40226748 46931206 47247774 62997032 70396809 80453496 93862412 94495548 140793618 187724824 188991096 281587236 563174472 667093571 1334187142 2001280713 2668374284 4002561426 4669654997 5336748568 8005122852 9339309994 14008964991 16010245704 18678619988 28017929982 37357239976 56035859964 112071719928