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112075956336 = 24319953128951
BaseRepresentation
bin110100001100000111…
…1110110000001110000
3101201021202200111002210
41220120033312001300
53314012421100321
6123253104412120
711045226624201
oct1503017660160
9351252614083
10112075956336
1143592a56903
121987a017040
13a751619c36
1455d2bb15a8
152dae4b0b76
hex1a183f6070

112075956336 has 80 divisors (see below), whose sum is σ = 305090115840. Its totient is φ = 35354995200.

The previous prime is 112075956313. The next prime is 112075956353. The reversal of 112075956336 is 633659570211.

It is a super-2 number, since 2×1120759563362 (a number of 23 digits) contains 22 as substring.

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

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, 804661 + ... + 933611.

It is an arithmetic number, because the mean of its divisors is an integer number (3813626448).

Almost surely, 2112075956336 is an apocalyptic number.

112075956336 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 112075956336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152545057920).

112075956336 is an abundant number, since it is smaller than the sum of its proper divisors (193014159504).

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

112075956336 is a wasteful number, since it uses less digits than its factorization.

112075956336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129934 (or 129928 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 48.

The spelling of 112075956336 in words is "one hundred twelve billion, seventy-five million, nine hundred fifty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 953 1906 2859 3812 5718 7624 11436 15248 18107 22872 36214 45744 54321 72428 108642 128951 144856 217284 257902 289712 386853 434568 515804 773706 869136 1031608 1547412 2063216 2450069 3094824 4900138 6189648 7350207 9800276 14700414 19600552 29400828 39201104 58801656 117603312 122890303 245780606 368670909 491561212 737341818 983122424 1474683636 1966244848 2334915757 2949367272 4669831514 5898734544 7004747271 9339663028 14009494542 18679326056 28018989084 37358652112 56037978168 112075956336