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112095374656 = 2617239431083
BaseRepresentation
bin110100001100101100…
…1111010110101000000
3101201100010020001000211
41220121121322311000
53314032403442111
6123255040523504
711045553651316
oct1503131726500
9351303201024
10112095374656
11435a2a0a101
1219884620594
13a755658675
1455d55c80b6
152db1049521
hex1a1967ad40

112095374656 has 56 divisors (see below), whose sum is σ = 236509925760. Its totient is φ = 52529928192.

The previous prime is 112095374641. The next prime is 112095374681. The reversal of 112095374656 is 656473590211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44491 + ... + 475573.

Almost surely, 2112095374656 is an apocalyptic number.

112095374656 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 112095374656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118254962880).

112095374656 is an abundant number, since it is smaller than the sum of its proper divisors (124414551104).

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

112095374656 is a wasteful number, since it uses less digits than its factorization.

112095374656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431351 (or 431341 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 49.

The spelling of 112095374656 in words is "one hundred twelve billion, ninety-five million, three hundred seventy-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 239 272 478 544 956 1088 1912 3824 4063 7648 8126 15296 16252 32504 65008 130016 260032 431083 862166 1724332 3448664 6897328 7328411 13794656 14656822 27589312 29313644 58627288 103028837 117254576 206057674 234509152 412115348 469018304 824230696 1648461392 1751490229 3296922784 3502980458 6593845568 7005960916 14011921832 28023843664 56047687328 112095374656