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56124722640 = 2435755016073
BaseRepresentation
bin110100010001010010…
…110100110111010000
312100212102120022121010
4310101102310313100
51404420412111030
641441111330520
74024552161660
oct642122646720
9170772508533
1056124722640
1121890a408a8
12aa64080a40
1353a592716c
142a05d281a0
1516d74176b0
hexd114b4dd0

56124722640 has 160 divisors (see below), whose sum is σ = 198910768896. Its totient is φ = 12824064000.

The previous prime is 56124722639. The next prime is 56124722653. The reversal of 56124722640 is 4622742165.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9238644 + ... + 9244716.

Almost surely, 256124722640 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 56124722640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99455384448).

56124722640 is an abundant number, since it is smaller than the sum of its proper divisors (142786046256).

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

56124722640 is a wasteful number, since it uses less digits than its factorization.

56124722640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11597 (or 11591 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 56124722640 in words is "fifty-six billion, one hundred twenty-four million, seven hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 5501 6073 11002 12146 16503 18219 22004 24292 27505 30365 33006 36438 38507 42511 44008 48584 55010 60730 66012 72876 77014 82515 85022 88016 91095 97168 110020 115521 121460 127533 132024 145752 154028 165030 170044 182190 192535 212555 220040 231042 242920 255066 264048 291504 308056 330060 340088 364380 385070 425110 440080 462084 485840 510132 577605 616112 637665 660120 680176 728760 770140 850220 924168 1020264 1155210 1275330 1320240 1457520 1540280 1700440 1848336 2040528 2310420 2550660 3080560 3400880 4620840 5101320 9241680 10202640 33407573 66815146 100222719 133630292 167037865 200445438 233853011 267260584 334075730 400890876 467706022 501113595 534521168 668151460 701559033 801781752 935412044 1002227190 1169265055 1336302920 1403118066 1603563504 1870824088 2004454380 2338530110 2672605840 2806236132 3507795165 3741648176 4008908760 4677060220 5612472264 7015590330 8017817520 9354120440 11224944528 14031180660 18708240880 28062361320 56124722640