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31368415509 = 34387264389
BaseRepresentation
bin11101001101101101…
…000000100100010101
32222222010012121120000
4131031231000210111
51003220303244014
622224354001513
72160224063304
oct351555004425
988863177500
1031368415509
111233771a942
1260b5276299
132c5ba35612
14173809843b
15c38d30509
hex74db40915

31368415509 has 10 divisors (see below), whose sum is σ = 46858991190. Its totient is φ = 20912276952.

The previous prime is 31368415489. The next prime is 31368415531. The reversal of 31368415509 is 90551486313.

31368415509 is a `hidden beast` number, since 3 + 13 + 6 + 84 + 1 + 550 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19737440100 + 11630975409 = 140490^2 + 107847^2 .

It is not a de Polignac number, because 31368415509 - 219 = 31367891221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31368415549) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 193632114 + ... + 193632275.

It is an arithmetic number, because the mean of its divisors is an integer number (4685899119).

Almost surely, 231368415509 is an apocalyptic number.

It is an amenable number.

31368415509 is a deficient number, since it is larger than the sum of its proper divisors (15490575681).

31368415509 is an equidigital number, since it uses as much as digits as its factorization.

31368415509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387264401 (or 387264392 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 31368415509 in words is "thirty-one billion, three hundred sixty-eight million, four hundred fifteen thousand, five hundred nine".

Divisors: 1 3 9 27 81 387264389 1161793167 3485379501 10456138503 31368415509