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20138659968 = 273719394319
BaseRepresentation
bin10010110000010110…
…111001000010000000
31220222111102220222010
4102300112321002000
5312220444104333
613130201212520
71312024533240
oct226026710200
956874386863
1020138659968
1185a4826339
123aa0491140
131b8c33605b
14d9089bb20
157cd00a563
hex4b05b9080

20138659968 has 128 divisors (see below), whose sum is σ = 64353024000. Its totient is φ = 5451052032.

The previous prime is 20138659951. The next prime is 20138660027. The reversal of 20138659968 is 86995683102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×201386599682 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146088 + ... + 248231.

It is an arithmetic number, because the mean of its divisors is an integer number (502758000).

Almost surely, 220138659968 is an apocalyptic number.

20138659968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20138659968 is an abundant number, since it is smaller than the sum of its proper divisors (44214364032).

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

20138659968 is a wasteful number, since it uses less digits than its factorization.

20138659968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394362 (or 394350 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 20138659968 in words is "twenty billion, one hundred thirty-eight million, six hundred fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 266 304 336 384 399 448 456 532 608 672 798 896 912 1064 1216 1344 1596 1824 2128 2432 2688 3192 3648 4256 6384 7296 8512 12768 17024 25536 51072 394319 788638 1182957 1577276 2365914 2760233 3154552 4731828 5520466 6309104 7492061 8280699 9463656 11040932 12618208 14984122 16561398 18927312 22081864 22476183 25236416 29968244 33122796 37854624 44163728 44952366 50472832 52444427 59936488 66245592 75709248 88327456 89904732 104888854 119872976 132491184 151418496 157333281 176654912 179809464 209777708 239745952 264982368 314666562 353309824 359618928 419555416 479491904 529964736 629333124 719237856 839110832 958983808 1059929472 1258666248 1438475712 1678221664 2517332496 2876951424 3356443328 5034664992 6712886656 10069329984 20138659968