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31627961020 = 22523731098641
BaseRepresentation
bin11101011101001011…
…000110001010111100
310000122012120220001201
4131131023012022330
51004233224223040
622310224545244
72166525142615
oct353513061274
9100565526051
1031627961020
1112460183267
126168182224
132ca073aa46
14176073ac0c
15c519eca9a
hex75d2c62bc

31627961020 has 96 divisors (see below), whose sum is σ = 70908647040. Its totient is φ = 11824496640.

The previous prime is 31627960999. The next prime is 31627961021. The reversal of 31627961020 is 2016972613.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31627961021) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3655900 + ... + 3664540.

It is an arithmetic number, because the mean of its divisors is an integer number (738631740).

Almost surely, 231627961020 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 31627961020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35454323520).

31627961020 is an abundant number, since it is smaller than the sum of its proper divisors (39280686020).

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

31627961020 is a wasteful number, since it uses less digits than its factorization.

31627961020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8855 (or 8853 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 31627961020 in words is "thirty-one billion, six hundred twenty-seven million, nine hundred sixty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 73 92 109 115 146 218 230 292 365 436 460 545 730 1090 1460 1679 2180 2507 3358 5014 6716 7957 8395 8641 10028 12535 15914 16790 17282 25070 31828 33580 34564 39785 43205 50140 79570 86410 159140 172820 183011 198743 366022 397486 630793 732044 794972 915055 941869 993715 1261586 1830110 1883738 1987430 2523172 3153965 3660220 3767476 3974860 4709345 6307930 9418690 12615860 14508239 18837380 21662987 29016478 43325974 58032956 68756437 72541195 86651948 108314935 137512874 145082390 216629870 275025748 290164780 343782185 433259740 687564370 1375128740 1581398051 3162796102 6325592204 7906990255 15813980510 31627961020