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37864313916 = 223111371310781
BaseRepresentation
bin100011010000111000…
…111001010000111100
310121201211101102221220
4203100320321100330
51110021231021131
625221123353340
72510212233522
oct432070712074
9117654342856
1037864313916
1115070466520
127408822850
13375577b5a0
141b92ab2312
15eb9270e96
hex8d0e3943c

37864313916 has 96 divisors (see below), whose sum is σ = 105258134016. Its totient is φ = 10442208000.

The previous prime is 37864313909. The next prime is 37864313917. The reversal of 37864313916 is 61931346873.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37864313917) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33555 + ... + 277226.

It is an arithmetic number, because the mean of its divisors is an integer number (1096438896).

Almost surely, 237864313916 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 37864313916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52629067008).

37864313916 is an abundant number, since it is smaller than the sum of its proper divisors (67393820100).

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

37864313916 is a wasteful number, since it uses less digits than its factorization.

37864313916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310883 (or 310881 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 51.

The spelling of 37864313916 in words is "thirty-seven billion, eight hundred sixty-four million, three hundred thirteen thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 71 78 132 142 143 156 213 284 286 426 429 572 781 852 858 923 1562 1716 1846 2343 2769 3124 3692 4686 5538 9372 10153 11076 20306 30459 40612 60918 121836 310781 621562 932343 1243124 1864686 3418591 3729372 4040153 6837182 8080306 10255773 12120459 13674364 16160612 20511546 22065451 24240918 41023092 44130902 44441683 48481836 66196353 88261804 88883366 132392706 133325049 177766732 242719961 264785412 266650098 286850863 485439922 533300196 573701726 728159883 860552589 970879844 1147403452 1456319766 1721105178 2912639532 3155359493 3442210356 6310718986 9466078479 12621437972 18932156958 37864313916