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20024157620256 = 2534322812126617
BaseRepresentation
bin1001000110110001111001…
…10011010100100000100000
32121220021211222021202200220
410203120330303110200200
510111033433322322011
6110330545423443040
74134461202300426
oct443307463244040
977807758252626
1020024157620256
116420219a47759
1222b4995a56480
13b233681495aa
144d32627a7116
1524ad1ab0e506
hex12363ccd4820

20024157620256 has 96 divisors (see below), whose sum is σ = 53809423956288. Its totient is φ = 6516631941120.

The previous prime is 20024157620237. The next prime is 20024157620273. The reversal of 20024157620256 is 65202675142002.

It is a tau number, because it is divible by the number of its divisors (96).

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, 8352660 + ... + 10479276.

It is an arithmetic number, because the mean of its divisors is an integer number (560514832878).

Almost surely, 220024157620256 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 20024157620256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26904711978144).

20024157620256 is an abundant number, since it is smaller than the sum of its proper divisors (33785266336032).

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

20024157620256 is a wasteful number, since it uses less digits than its factorization.

20024157620256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128954 (or 2128946 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 20024157620256 in words is "twenty trillion, twenty-four billion, one hundred fifty-seven million, six hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 2281 4128 4562 6843 9124 13686 18248 27372 36496 54744 72992 98083 109488 196166 218976 294249 392332 588498 784664 1176996 1569328 2126617 2353992 3138656 4253234 4707984 6379851 8506468 9415968 12759702 17012936 25519404 34025872 51038808 68051744 91444531 102077616 182889062 204155232 274333593 365778124 548667186 731556248 1097334372 1463112496 2194668744 2926224992 4389337488 4850813377 8778674976 9701626754 14552440131 19403253508 29104880262 38806507016 58209760524 77613014032 116419521048 155226028064 208584975211 232839042096 417169950422 465678084192 625754925633 834339900844 1251509851266 1668679801688 2503019702532 3337359603376 5006039405064 6674719206752 10012078810128 20024157620256