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31628438020 = 2253734239737
BaseRepresentation
bin11101011101001100…
…111010101000000100
310000122020111010101101
4131131030322220010
51004233340004040
622310243105444
72166532200364
oct353514725004
9100566433341
1031628438020
1112460479683
126168372284
132ca0876baa
1417608229a4
15c51a9409a
hex75d33aa04

31628438020 has 24 divisors (see below), whose sum is σ = 66597804504. Its totient is φ = 12617454336.

The previous prime is 31628438003. The next prime is 31628438021. The reversal of 31628438020 is 2083482613.

It can be written as a sum of positive squares in 4 ways, for example, as 14018086404 + 17610351616 = 118398^2 + 132704^2 .

It is not an unprimeable number, because it can be changed into a prime (31628438021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2112409 + ... + 2127328.

It is an arithmetic number, because the mean of its divisors is an integer number (2774908521).

Almost surely, 231628438020 is an apocalyptic number.

It is an amenable number.

31628438020 is an abundant number, since it is smaller than the sum of its proper divisors (34969366484).

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

31628438020 is a wasteful number, since it uses less digits than its factorization.

31628438020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4240119 (or 4240117 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 31628438020 in words is "thirty-one billion, six hundred twenty-eight million, four hundred thirty-eight thousand, twenty".

Divisors: 1 2 4 5 10 20 373 746 1492 1865 3730 7460 4239737 8479474 16958948 21198685 42397370 84794740 1581421901 3162843802 6325687604 7907109505 15814219010 31628438020