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56583664320 = 2635451913043
BaseRepresentation
bin110100101100101001…
…100011001011000000
312102001102010222020010
4310230221203023000
51411340404224240
641554424144520
74042124132241
oct645451431300
9172042128203
1056583664320
1121aa7004547
12ab71908140
135449a34aa1
142a4ac72cc8
151712870280
hexd2ca632c0

56583664320 has 112 divisors (see below), whose sum is σ = 179706666240. Its totient is φ = 15084481536.

The previous prime is 56583664307. The next prime is 56583664363. The reversal of 56583664320 is 2346638565.

It is a super-2 number, since 2×565836643202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 56583664320.

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, 4331719 + ... + 4344761.

Almost surely, 256583664320 is an apocalyptic number.

It is an amenable number.

56583664320 is an abundant number, since it is smaller than the sum of its proper divisors (123123001920).

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

56583664320 is a wasteful number, since it uses less digits than its factorization.

56583664320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17582 (or 17572 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 56583664320 in words is "fifty-six billion, five hundred eighty-three million, six hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 4519 9038 13043 13557 18076 22595 26086 27114 36152 39129 45190 52172 54228 65215 67785 72304 78258 90380 104344 108456 130430 135570 144608 156516 180760 195645 208688 216912 260860 271140 289216 313032 361520 391290 417376 433824 521720 542280 626064 723040 782580 834752 867648 1043440 1084560 1252128 1446080 1565160 2086880 2169120 2504256 3130320 4173760 4338240 6260640 12521280 58941317 117882634 176823951 235765268 294706585 353647902 471530536 589413170 707295804 884119755 943061072 1178826340 1414591608 1768239510 1886122144 2357652680 2829183216 3536479020 3772244288 4715305360 5658366432 7072958040 9430610720 11316732864 14145916080 18861221440 28291832160 56583664320