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56319526920 = 23354330013637
BaseRepresentation
bin110100011100111001…
…111100100000001000
312101101000010101211110
4310130321330200020
51410320244330140
641512310530320
74032436036326
oct643471744010
9171330111743
1056319526920
11219809a5178
12aab93669a0
1354070b2577
142a23b56d16
1516e9597380
hexd1ce7c808

56319526920 has 128 divisors (see below), whose sum is σ = 172993011840. Its totient is φ = 14660352000.

The previous prime is 56319526891. The next prime is 56319526931. The reversal of 56319526920 is 2962591365.

It is a happy number.

It is a super-2 number, since 2×563195269202 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56319526920.

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, 15483342 + ... + 15486978.

It is an arithmetic number, because the mean of its divisors is an integer number (1351507905).

Almost surely, 256319526920 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 56319526920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86496505920).

56319526920 is an abundant number, since it is smaller than the sum of its proper divisors (116673484920).

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

56319526920 is a wasteful number, since it uses less digits than its factorization.

56319526920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6695 (or 6691 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 48.

The spelling of 56319526920 in words is "fifty-six billion, three hundred nineteen million, five hundred twenty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 3001 3637 5160 6002 7274 9003 10911 12004 14548 15005 18006 18185 21822 24008 29096 30010 36012 36370 43644 45015 54555 60020 72024 72740 87288 90030 109110 120040 129043 145480 156391 180060 218220 258086 312782 360120 387129 436440 469173 516172 625564 645215 774258 781955 938346 1032344 1251128 1290430 1548516 1563910 1876692 1935645 2345865 2580860 3097032 3127820 3753384 3871290 4691730 5161720 6255640 7742580 9383460 10914637 15485160 18766920 21829274 32743911 43658548 54573185 65487822 87317096 109146370 130975644 163719555 218292740 261951288 327439110 436585480 469329391 654878220 938658782 1309756440 1407988173 1877317564 2346646955 2815976346 3754635128 4693293910 5631952692 7039940865 9386587820 11263905384 14079881730 18773175640 28159763460 56319526920