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37820285672 = 2313418869673
BaseRepresentation
bin100011001110010000…
…111100001011101000
310121121202112120120012
4203032100330023220
51104423443120142
625212511551052
72506136060351
oct431620741350
9117552476505
1037820285672
1115048624444
1273b5b2b488
133749604380
141b8acd0d28
15eb5475882
hex8ce43c2e8

37820285672 has 32 divisors (see below), whose sum is σ = 78230524680. Its totient is φ = 17029770240.

The previous prime is 37820285653. The next prime is 37820285689. The reversal of 37820285672 is 27658202873.

It can be written as a sum of positive squares in 4 ways, for example, as 12699937636 + 25120348036 = 112694^2 + 158494^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 37820285672.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4430573 + ... + 4439100.

Almost surely, 237820285672 is an apocalyptic number.

It is an amenable number.

37820285672 is an abundant number, since it is smaller than the sum of its proper divisors (40410239008).

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

37820285672 is a wasteful number, since it uses less digits than its factorization.

37820285672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8869733 (or 8869729 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 50.

The spelling of 37820285672 in words is "thirty-seven billion, eight hundred twenty million, two hundred eighty-five thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 26 41 52 82 104 164 328 533 1066 2132 4264 8869673 17739346 35478692 70957384 115305749 230611498 363656593 461222996 727313186 922445992 1454626372 2909252744 4727535709 9455071418 18910142836 37820285672