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31268515072 = 28177184861
BaseRepresentation
bin11101000111101111…
…111010110100000000
32222201011020010220211
4131013233322310000
51003014214440242
622210424443504
72154601664344
oct350757726400
988634203824
1031268515072
11122962971a3
126087919594
132c44128232
141728ad1624
15c3019a317
hex747bfad00

31268515072 has 36 divisors (see below), whose sum is σ = 66086360676. Its totient is φ = 14714593280.

The previous prime is 31268515063. The next prime is 31268515093. The reversal of 31268515072 is 27051586213.

It can be written as a sum of positive squares in 2 ways, for example, as 12637357056 + 18631158016 = 112416^2 + 136496^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3588079 + ... + 3596782.

It is an arithmetic number, because the mean of its divisors is an integer number (1835732241).

Almost surely, 231268515072 is an apocalyptic number.

31268515072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31268515072 is an abundant number, since it is smaller than the sum of its proper divisors (34817845604).

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

31268515072 is an equidigital number, since it uses as much as digits as its factorization.

31268515072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7184894 (or 7184880 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 31268515072 in words is "thirty-one billion, two hundred sixty-eight million, five hundred fifteen thousand, seventy-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 2176 4352 7184861 14369722 28739444 57478888 114957776 122142637 229915552 244285274 459831104 488570548 919662208 977141096 1839324416 1954282192 3908564384 7817128768 15634257536 31268515072