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112045748880 = 243513217916481
BaseRepresentation
bin110100001011001110…
…0100111001010010000
3101201012122211210021010
41220112130213022100
53313432202431010
6123250105130520
711044412102622
oct1502634471220
9351178753233
10112045748880
11435779a456a
121986ba89a40
13a7482a16c0
1455ccb8ac12
152dab9e5620
hex1a16727290

112045748880 has 160 divisors (see below), whose sum is σ = 374254796160. Its totient is φ = 27566161920.

The previous prime is 112045748809. The next prime is 112045748891. The reversal of 112045748880 is 88847540211.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6790240 + ... + 6806720.

It is an arithmetic number, because the mean of its divisors is an integer number (2339092476).

Almost surely, 2112045748880 is an apocalyptic number.

112045748880 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 112045748880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187127398080).

112045748880 is an abundant number, since it is smaller than the sum of its proper divisors (262209047280).

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

112045748880 is a wasteful number, since it uses less digits than its factorization.

112045748880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18689 (or 18683 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 48.

The spelling of 112045748880 in words is "one hundred twelve billion, forty-five million, seven hundred forty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 2179 3120 4358 6537 8716 10895 13074 16481 17432 21790 26148 28327 32685 32962 34864 43580 49443 52296 56654 65370 65924 82405 84981 87160 98886 104592 113308 130740 131848 141635 164810 169962 174320 197772 214253 226616 247215 261480 263696 283270 329620 339924 395544 424905 428506 453232 494430 522960 566540 642759 659240 679848 791088 849810 857012 988860 1071265 1133080 1285518 1318480 1359696 1699620 1714024 1977720 2142530 2266160 2571036 3213795 3399240 3428048 3955440 4285060 5142072 6427590 6798480 8570120 10284144 12855180 17140240 25710360 35912099 51420720 71824198 107736297 143648396 179560495 215472594 287296792 359120990 430945188 466857287 538681485 574593584 718241980 861890376 933714574 1077362970 1400571861 1436483960 1723780752 1867429148 2154725940 2334286435 2801143722 2872967920 3734858296 4309451880 4668572870 5602287444 7002859305 7469716592 8618903760 9337145740 11204574888 14005718610 18674291480 22409149776 28011437220 37348582960 56022874440 112045748880