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37821057872 = 2413792818191
BaseRepresentation
bin100011001110010011…
…111000101101010000
310121121210222210211012
4203032103320231100
51104424142322442
625212540310052
72506145454563
oct431623705520
9117553883735
1037821057872
1115049001624
1273b6242328
1337498149b0
141b8b0524da
15eb5579582
hex8ce4f8b50

37821057872 has 80 divisors (see below), whose sum is σ = 80208199680. Its totient is φ = 17171481600.

The previous prime is 37821057817. The next prime is 37821057899. The reversal of 37821057872 is 27875012873.

It is a self number, because there is not a number n which added to its sum of digits gives 37821057872.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4613297 + ... + 4621487.

It is an arithmetic number, because the mean of its divisors is an integer number (1002602496).

Almost surely, 237821057872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37821057872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40104099840).

37821057872 is an abundant number, since it is smaller than the sum of its proper divisors (42387141808).

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

37821057872 is a wasteful number, since it uses less digits than its factorization.

37821057872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8572 (or 8566 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 50.

The spelling of 37821057872 in words is "thirty-seven billion, eight hundred twenty-one million, fifty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 52 79 104 158 208 281 316 562 632 1027 1124 1264 2054 2248 3653 4108 4496 7306 8191 8216 14612 16382 16432 22199 29224 32764 44398 58448 65528 88796 106483 131056 177592 212966 288587 355184 425932 577174 647089 851864 1154348 1294178 1703728 2301671 2308696 2588356 4603342 4617392 5176712 8412157 9206684 10353424 16824314 18413368 29921723 33648628 36826736 59843446 67297256 119686892 134594512 181832009 239373784 363664018 478747568 727328036 1454656072 2363816117 2909312144 4727632234 9455264468 18910528936 37821057872