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112398540160 = 2751931298171
BaseRepresentation
bin110100010101101111…
…0011001110110000000
3101202010020200102220211
41220223132121312000
53320143011241120
6123345110443504
711056224553624
oct1505336316600
9352106612824
10112398540160
1143739055905
121994a063594
13a7a33c423a
145623983184
152dcc98125a
hex1a2b799d80

112398540160 has 128 divisors (see below), whose sum is σ = 291970022400. Its totient is φ = 41219020800.

The previous prime is 112398540049. The next prime is 112398540187. The reversal of 112398540160 is 61045893211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227875 + ... + 526045.

It is an arithmetic number, because the mean of its divisors is an integer number (2281015800).

Almost surely, 2112398540160 is an apocalyptic number.

112398540160 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 112398540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145985011200).

112398540160 is an abundant number, since it is smaller than the sum of its proper divisors (179571482240).

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

112398540160 is a wasteful number, since it uses less digits than its factorization.

112398540160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298240 (or 298228 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The spelling of 112398540160 in words is "one hundred twelve billion, three hundred ninety-eight million, five hundred forty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 31 32 38 40 62 64 76 80 95 124 128 152 155 160 190 248 304 310 320 380 496 589 608 620 640 760 992 1178 1216 1240 1520 1984 2356 2432 2480 2945 3040 3968 4712 4960 5890 6080 9424 9920 11780 12160 18848 19840 23560 37696 47120 75392 94240 188480 298171 376960 596342 1192684 1490855 2385368 2981710 4770736 5665249 5963420 9243301 9541472 11330498 11926840 18486602 19082944 22660996 23853680 28326245 36973204 38165888 45321992 46216505 47707360 56652490 73946408 90643984 92433010 95414720 113304980 147892816 175622719 181287968 184866020 190829440 226609960 295785632 351245438 362575936 369732040 453219920 591571264 702490876 725151872 739464080 878113595 906439840 1183142528 1404981752 1478928160 1756227190 1812879680 2809963504 2957856320 3512454380 3625759360 5619927008 5915712640 7024908760 11239854016 14049817520 22479708032 28099635040 56199270080 112398540160