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112245583776 = 25319128947741
BaseRepresentation
bin110100010001001011…
…0111010111110100000
3101201201120212110012120
41220202112322332200
53314334332140101
6123322004224240
711052356501634
oct1504226727640
9351646773176
10112245583776
114366a784477
121990699b080
13a77a7cb7c1
14560b528dc4
152dbe31ab36
hex1a225bafa0

112245583776 has 96 divisors (see below), whose sum is σ = 310399387200. Its totient is φ = 35417733120.

The previous prime is 112245583771. The next prime is 112245583781. The reversal of 112245583776 is 677385542211.

It is an interprime number because it is at equal distance from previous prime (112245583771) and next prime (112245583781).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (112245583771) 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, 2327266 + ... + 2375006.

It is an arithmetic number, because the mean of its divisors is an integer number (3233326950).

Almost surely, 2112245583776 is an apocalyptic number.

112245583776 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 112245583776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155199693600).

112245583776 is an abundant number, since it is smaller than the sum of its proper divisors (198153803424).

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

112245583776 is a wasteful number, since it uses less digits than its factorization.

112245583776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49062 (or 49054 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 51.

The spelling of 112245583776 in words is "one hundred twelve billion, two hundred forty-five million, five hundred eighty-three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1289 1824 2578 3867 5156 7734 10312 15468 20624 24491 30936 41248 47741 48982 61872 73473 95482 97964 123744 143223 146946 190964 195928 286446 293892 381928 391856 572892 587784 763856 783712 907079 1145784 1175568 1527712 1814158 2291568 2351136 2721237 3628316 4583136 5442474 7256632 10884948 14513264 21769896 29026528 43539792 61538149 87079584 123076298 184614447 246152596 369228894 492305192 738457788 984610384 1169224831 1476915576 1969220768 2338449662 2953831152 3507674493 4676899324 5907662304 7015348986 9353798648 14030697972 18707597296 28061395944 37415194592 56122791888 112245583776