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131123726096272 = 24721312865357741
BaseRepresentation
bin11101110100000110011111…
…000111011001011110010000
3122012021022020220220121220221
4131310012133013121132100
5114141312342340040042
61142513224100042424
736422243112006400
oct3564063707313620
9565238226817827
10131123726096272
1138864294aa1548
12128587a6693414
135821bb6997b80
1424545ca762800
151025c67e83d67
hex77419f1d9790

131123726096272 has 60 divisors (see below), whose sum is σ = 318263219821596. Its totient is φ = 51873122407680.

The previous prime is 131123726096249. The next prime is 131123726096323. The reversal of 131123726096272 is 272690627321131.

It can be written as a sum of positive squares in 2 ways, for example, as 64223170212096 + 66900555884176 = 8013936^2 + 8179276^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6432668679 + ... + 6432689062.

Almost surely, 2131123726096272 is an apocalyptic number.

It is an amenable number.

131123726096272 is an abundant number, since it is smaller than the sum of its proper divisors (187139493725324).

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

131123726096272 is a wasteful number, since it uses less digits than its factorization.

131123726096272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12865357776 (or 12865357763 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 52.

The spelling of 131123726096272 in words is "one hundred thirty-one trillion, one hundred twenty-three billion, seven hundred twenty-six million, ninety-six thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 728 784 1274 1456 2548 5096 10192 12865357741 25730715482 51461430964 90057504187 102922861928 167249650633 180115008374 205845723856 334499301266 360230016748 630402529309 668998602532 720460033496 1170747554431 1260805058618 1337997205064 1440920066992 2341495108862 2521610117236 2675994410128 4682990217724 5043220234472 8195232881017 9365980435448 10086440468944 16390465762034 18731960870896 32780931524068 65561863048136 131123726096272