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20023693992 = 2333149677919
BaseRepresentation
bin10010101001100000…
…010101001010101000
31220200111010001022000
4102221200111022220
5312002031201432
613110533131000
71306130406411
oct225140251250
956614101260
1020023693992
118545942735
123a69a89a60
131b71582553
14d7d4d2808
157c2d9b57c
hex4a98152a8

20023693992 has 128 divisors (see below), whose sum is σ = 56138400000. Its totient is φ = 6612772608.

The previous prime is 20023693957. The next prime is 20023693997. The reversal of 20023693992 is 29939632002.

20023693992 is a `hidden beast` number, since 20 + 0 + 236 + 9 + 399 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (20023693997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21788109 + ... + 21789027.

It is an arithmetic number, because the mean of its divisors is an integer number (438581250).

Almost surely, 220023693992 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 20023693992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28069200000).

20023693992 is an abundant number, since it is smaller than the sum of its proper divisors (36114706008).

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

20023693992 is a wasteful number, since it uses less digits than its factorization.

20023693992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 20023693992 in words is "twenty billion, twenty-three million, six hundred ninety-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 149 216 298 447 596 677 894 919 1192 1341 1354 1788 1838 2031 2682 2708 2757 3576 3676 4023 4062 5364 5416 5514 6093 7352 8046 8124 8271 10728 11028 12186 16092 16248 16542 18279 22056 24372 24813 32184 33084 36558 48744 49626 66168 73116 99252 100873 136931 146232 198504 201746 273862 302619 403492 410793 547724 605238 622163 806984 821586 907857 1095448 1210476 1232379 1244326 1643172 1815714 1866489 2420952 2464758 2488652 2723571 3286344 3631428 3697137 3732978 4929516 4977304 5447142 5599467 7262856 7394274 7465956 9859032 10894284 11198934 14788548 14931912 16798401 21788568 22397868 29577096 33596802 44795736 67193604 92702287 134387208 185404574 278106861 370809148 556213722 741618296 834320583 1112427444 1668641166 2224854888 2502961749 3337282332 5005923498 6674564664 10011846996 20023693992