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20507031960 = 23353143128201
BaseRepresentation
bin10011000110010100…
…000111100110011000
31221221011121011100020
4103012110013212120
5313444300010320
613230520510440
71324116616122
oct230624074630
957834534306
1020507031960
1187737596a8
123b8391b420
131c1a75264c
14dc778c212
15800522940
hex4c6507998

20507031960 has 128 divisors (see below), whose sum is σ = 64983029760. Its totient is φ = 5169024000.

The previous prime is 20507031907. The next prime is 20507031977. The reversal of 20507031960 is 6913070502.

It is a super-2 number, since 2×205070319602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95860 + ... + 224060.

It is an arithmetic number, because the mean of its divisors is an integer number (507679920).

Almost surely, 220507031960 is an apocalyptic number.

20507031960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20507031960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32491514880).

20507031960 is an abundant number, since it is smaller than the sum of its proper divisors (44475997800).

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

20507031960 is a wasteful number, since it uses less digits than its factorization.

20507031960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128289 (or 128285 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The spelling of 20507031960 in words is "twenty billion, five hundred seven million, thirty-one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 43 60 62 86 93 120 124 129 155 172 186 215 248 258 310 344 372 430 465 516 620 645 744 860 930 1032 1240 1290 1333 1720 1860 2580 2666 3720 3999 5160 5332 6665 7998 10664 13330 15996 19995 26660 31992 39990 53320 79980 128201 159960 256402 384603 512804 641005 769206 1025608 1282010 1538412 1923015 2564020 3076824 3846030 3974231 5128040 5512643 7692060 7948462 11025286 11922693 15384120 15896924 16537929 19871155 22050572 23845386 27563215 31793848 33075858 39742310 44101144 47690772 55126430 59613465 66151716 79484620 82689645 95381544 110252860 119226930 132303432 158969240 165379290 170891933 220505720 238453860 330758580 341783866 476907720 512675799 661517160 683567732 854459665 1025351598 1367135464 1708919330 2050703196 2563378995 3417838660 4101406392 5126757990 6835677320 10253515980 20507031960