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36780241312 = 253731064393
BaseRepresentation
bin100010010000010001…
…011111000110100000
310111221021111211220201
4202100101133012200
51100311220210222
624521400114544
72441306615143
oct422021370640
9114837454821
1036780241312
111466453a751
127165765a54
133611cb63c9
141accb1c05a
15e53ed4427
hex89045f1a0

36780241312 has 24 divisors (see below), whose sum is σ = 74368159236. Its totient is φ = 17893089792.

The previous prime is 36780241291. The next prime is 36780241313. The reversal of 36780241312 is 21314208763.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 27557328016 + 9222913296 = 166004^2 + 96036^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (36780241313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15531013 + ... + 15533380.

Almost surely, 236780241312 is an apocalyptic number.

36780241312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

36780241312 is an abundant number, since it is smaller than the sum of its proper divisors (37587917924).

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

36780241312 is a wasteful number, since it uses less digits than its factorization.

36780241312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31064440 (or 31064432 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 36780241312 in words is "thirty-six billion, seven hundred eighty million, two hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 31064393 62128786 124257572 248515144 497030288 994060576 1149382541 2298765082 4597530164 9195060328 18390120656 36780241312