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12440436552 = 2332172783841
BaseRepresentation
bin10111001011000000…
…11111111101001000
31012002222212122201100
423211200133331020
5200434222432202
65414241421400
7620166652215
oct134540377510
935088778640
1012440436552
115304336125
1224b233a860
13123349357b
1486030ab0c
154cc27041c
hex2e581ff48

12440436552 has 24 divisors (see below), whose sum is σ = 33692849190. Its totient is φ = 4146812160.

The previous prime is 12440436529. The next prime is 12440436557. The reversal of 12440436552 is 25563404421.

12440436552 is a `hidden beast` number, since 1 + 24 + 40 + 43 + 6 + 552 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8583281316 + 3857155236 = 92646^2 + 62106^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12440436557) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 86391849 + ... + 86391992.

Almost surely, 212440436552 is an apocalyptic number.

12440436552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12440436552 is an abundant number, since it is smaller than the sum of its proper divisors (21252412638).

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

12440436552 is a wasteful number, since it uses less digits than its factorization.

12440436552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172783853 (or 172783846 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 12440436552 in words is "twelve billion, four hundred forty million, four hundred thirty-six thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 172783841 345567682 518351523 691135364 1036703046 1382270728 1555054569 2073406092 3110109138 4146812184 6220218276 12440436552