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20363137872 = 24371129189983
BaseRepresentation
bin10010111101101111…
…001101001101010000
31221120010211120202120
4102331233031031100
5313200430402442
613204340414240
71320421546620
oct227557151520
957503746676
1020363137872
1186aa507970
123b436a7380
131bc69b0a0c
14db2612880
157e2a9c4ec
hex4bdbcd350

20363137872 has 160 divisors (see below), whose sum is σ = 67847086080. Its totient is φ = 5106716160.

The previous prime is 20363137853. The next prime is 20363137903. The reversal of 20363137872 is 27873136302.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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, 12193 + ... + 202175.

It is an arithmetic number, because the mean of its divisors is an integer number (424044288).

Almost surely, 220363137872 is an apocalyptic number.

20363137872 is a gapful number since it is divisible by the number (22) 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 20363137872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33923543040).

20363137872 is an abundant number, since it is smaller than the sum of its proper divisors (47483948208).

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

20363137872 is a wasteful number, since it uses less digits than its factorization.

20363137872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190041 (or 190035 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 20363137872 in words is "twenty billion, three hundred sixty-three million, one hundred thirty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 29 33 42 44 48 56 58 66 77 84 87 88 112 116 132 154 168 174 176 203 231 232 264 308 319 336 348 406 462 464 528 609 616 638 696 812 924 957 1218 1232 1276 1392 1624 1848 1914 2233 2436 2552 3248 3696 3828 4466 4872 5104 6699 7656 8932 9744 13398 15312 17864 26796 35728 53592 107184 189983 379966 569949 759932 1139898 1329881 1519864 2089813 2279796 2659762 3039728 3989643 4179626 4559592 5319524 5509507 6269439 7979286 8359252 9119184 10639048 11019014 12538878 14628691 15958572 16528521 16718504 21278096 22038028 25077756 29257382 31917144 33057042 33437008 38566549 43886073 44076056 50155512 58514764 60604577 63834288 66114084 77133098 87772146 88152112 100311024 115699647 117029528 121209154 132228168 154266196 175544292 181813731 231399294 234059056 242418308 264456336 308532392 351088584 363627462 424232039 462798588 484836616 617064784 702177168 727254924 848464078 925597176 969673232 1272696117 1454509848 1696928156 1851194352 2545392234 2909019696 3393856312 5090784468 6787712624 10181568936 20363137872