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20358476928 = 273324124443
BaseRepresentation
bin10010111101011101…
…011011010010000000
31221112211001210011000
4102331131123102000
5313143232230203
613204052452000
71320334125066
oct227535332200
957484053130
1020358476928
1186a7914049
123b4201a000
131bc5a3b36a
14db1b5c036
157e247b4a3
hex4bd75b480

20358476928 has 128 divisors (see below), whose sum is σ = 60337569600. Its totient is φ = 6757724160.

The previous prime is 20358476927. The next prime is 20358476977. The reversal of 20358476928 is 82967485302.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (20358476927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 820675 + ... + 845117.

Almost surely, 220358476928 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 20358476928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30168784800).

20358476928 is an abundant number, since it is smaller than the sum of its proper divisors (39979092672).

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

20358476928 is a wasteful number, since it uses less digits than its factorization.

20358476928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24707 (or 24689 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 20358476928 in words is "twenty billion, three hundred fifty-eight million, four hundred seventy-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 241 288 384 432 482 576 723 864 964 1152 1446 1728 1928 2169 2892 3456 3856 4338 5784 6507 7712 8676 11568 13014 15424 17352 23136 24443 26028 30848 34704 46272 48886 52056 69408 73329 92544 97772 104112 138816 146658 195544 208224 219987 277632 293316 391088 416448 439974 586632 659961 782176 832896 879948 1173264 1319922 1564352 1759896 2346528 2639844 3128704 3519792 4693056 5279688 5890763 7039584 9386112 10559376 11781526 14079168 17672289 21118752 23563052 28158336 35344578 42237504 47126104 53016867 70689156 84475008 94252208 106033734 141378312 159050601 188504416 212067468 282756624 318101202 377008832 424134936 565513248 636202404 754017664 848269872 1131026496 1272404808 1696539744 2262052992 2544809616 3393079488 5089619232 6786158976 10179238464 20358476928