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112939012096 = 212592892
BaseRepresentation
bin110100100101110110…
…0001001000000000000
3101210111220200021000221
41221023230021000000
53322244341341341
6123514454552424
711105506522561
oct1511354110000
9353456607027
10112939012096
1143996145429
1219a7b068714
13a85b379911
145675672168
152e10140ed1
hex1a4bb09000

112939012096 has 117 divisors (see below), whose sum is σ = 232353695641. Its totient is φ = 54888660992.

The previous prime is 112939012093. The next prime is 112939012129. The reversal of 112939012096 is 690210939211.

The square root of 112939012096 is 336064.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 21686685696 + 91252326400 = 147264^2 + 302080^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112939012093) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1268977620 + ... + 1268977708.

Almost surely, 2112939012096 is an apocalyptic number.

112939012096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

112939012096 is the 336064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112939012096

112939012096 is an abundant number, since it is smaller than the sum of its proper divisors (119414683545).

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

112939012096 is an frugal number, since it uses more digits than its factorization.

112939012096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 43.

The spelling of 112939012096 in words is "one hundred twelve billion, nine hundred thirty-nine million, twelve thousand, ninety-six".

Divisors: 1 2 4 8 16 32 59 64 89 118 128 178 236 256 356 472 512 712 944 1024 1424 1888 2048 2848 3481 3776 4096 5251 5696 6962 7552 7921 10502 11392 13924 15104 15842 21004 22784 27848 30208 31684 42008 45568 55696 60416 63368 84016 91136 111392 120832 126736 168032 182272 222784 241664 253472 309809 336064 364544 445568 467339 506944 619618 672128 891136 934678 1013888 1239236 1344256 1782272 1869356 2027776 2478472 2688512 3564544 3738712 4055552 4956944 5377024 7129088 7477424 8111104 9913888 10754048 14258176 14954848 16222208 19827776 21508096 27573001 29909696 32444416 39655552 55146002 59819392 79311104 110292004 119638784 158622208 220584008 239277568 317244416 441168016 478555136 634488832 882336032 957110272 1268977664 1764672064 1914220544 3529344128 7058688256 14117376512 28234753024 56469506048 112939012096