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20782415136 = 2537171819189
BaseRepresentation
bin10011010110101110…
…100111110100100000
31222122100210002001010
4103112232213310200
5320030244241021
613314115140520
71334002420410
oct232656476440
958570702033
1020782415136
1188a514a0aa
12403bba4740
131c62811782
141012194640
158197bc976
hex4d6ba7d20

20782415136 has 96 divisors (see below), whose sum is σ = 66014766720. Its totient is φ = 5588545536.

The previous prime is 20782415117. The next prime is 20782415161. The reversal of 20782415136 is 63151428702.

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

It is a junction number, because it is equal to n+sod(n) for n = 20782415094 and 20782415103.

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, 898171 + ... + 921018.

It is an arithmetic number, because the mean of its divisors is an integer number (687653820).

Almost surely, 220782415136 is an apocalyptic number.

It is an amenable number.

20782415136 is an abundant number, since it is smaller than the sum of its proper divisors (45232351584).

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

20782415136 is a wasteful number, since it uses less digits than its factorization.

20782415136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819226 (or 1819218 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 20782415136 in words is "twenty billion, seven hundred eighty-two million, four hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 5712 11424 1819189 3638378 5457567 7276756 10915134 12734323 14553512 21830268 25468646 29107024 30926213 38202969 43660536 50937292 58214048 61852426 76405938 87321072 92778639 101874584 123704852 152811876 174642144 185557278 203749168 216483491 247409704 305623752 371114556 407498336 432966982 494819408 611247504 649450473 742229112 865933964 989638816 1222495008 1298900946 1484458224 1731867928 2597801892 2968916448 3463735856 5195603784 6927471712 10391207568 20782415136