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20116856475264 = 273233733306739
BaseRepresentation
bin1001001001011110100100…
…00101011000111010000000
32122020011010022112111220010
410210233102011120322000
510114043310224202024
6110441320053544520
74144252312461063
oct444572205307200
978204108474803
1020116856475264
11645656904252a
12230a946645140
13b2c01c1440a3
144d7937cba8da
1524d443d96b29
hex124bd2158e80

20116856475264 has 128 divisors (see below), whose sum is σ = 53738124148800. Its totient is φ = 6667708686336.

The previous prime is 20116856475263. The next prime is 20116856475301. The reversal of 20116856475264 is 46257465861102.

It is a happy number.

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

It is a super-2 number, since 2×201168564752642 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20116856475263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65429607 + ... + 65736345.

Almost surely, 220116856475264 is an apocalyptic number.

20116856475264 is a gapful number since it is divisible by the number (24) 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 20116856475264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26869062074400).

20116856475264 is an abundant number, since it is smaller than the sum of its proper divisors (33621267673536).

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

20116856475264 is a wasteful number, since it uses less digits than its factorization.

20116856475264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307722 (or 307710 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 57.

The spelling of 20116856475264 in words is "twenty trillion, one hundred sixteen billion, eight hundred fifty-six million, four hundred seventy-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 233 384 466 699 733 932 1398 1466 1864 2199 2796 2932 3728 4398 5592 5864 7456 8796 11184 11728 14912 17592 22368 23456 29824 35184 44736 46912 70368 89472 93824 140736 170789 281472 306739 341578 512367 613478 683156 920217 1024734 1226956 1366312 1840434 2049468 2453912 2732624 3680868 4098936 4907824 5465248 7361736 8197872 9815648 10930496 14723472 16395744 19631296 21860992 29446944 32791488 39262592 58893888 65582976 71470187 117787776 142940374 214410561 224839687 285880748 428821122 449679374 571761496 674519061 857642244 899358748 1143522992 1349038122 1715284488 1798717496 2287045984 2698076244 3430568976 3597434992 4574091968 5396152488 6861137952 7194869984 9148183936 10792304976 13722275904 14389739968 21584609952 27444551808 28779479936 43169219904 52387647071 86338439808 104775294142 157162941213 209550588284 314325882426 419101176568 628651764852 838202353136 1257303529704 1676404706272 2514607059408 3352809412544 5029214118816 6705618825088 10058428237632 20116856475264