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56217004840000 = 2654374892
BaseRepresentation
bin11001100100001000010101…
…00110101001010001000000
321101001021220201120212200101
430302010022212221101000
524332024411214340000
6315321422511132144
714561354533556314
oct1462041246512100
9241037821525611
1056217004840000
1116a04552726714
12637b295214054
13254a31909b334
14dc4cbba97b44
156774eed9ce6a
hex33210a9a9440

56217004840000 has 105 divisors (see below), whose sum is σ = 139403619997257. Its totient is φ = 22486202112000.

The previous prime is 56217004839953. The next prime is 56217004840063. The reversal of 56217004840000 is 4840071265.

The square root of 56217004840000 is 7497800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 14996906837056 + 41220098002944 = 3872584^2 + 6420288^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1499541256 + ... + 1499578744.

Almost surely, 256217004840000 is an apocalyptic number.

56217004840000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56217004840000 is the 7497800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56217004840000

56217004840000 is an abundant number, since it is smaller than the sum of its proper divisors (83186615157257).

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

56217004840000 is an frugal number, since it uses more digits than its factorization.

56217004840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75010 (or 37496 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 56217004840000 in words is "fifty-six trillion, two hundred seventeen billion, four million, eight hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 37489 40000 74978 149956 187445 299912 374890 599824 749780 937225 1199648 1499560 1874450 2399296 2999120 3748900 4686125 5998240 7497800 9372250 11996480 14995600 18744500 23430625 29991200 37489000 46861250 59982400 74978000 93722500 149956000 187445000 299912000 374890000 749780000 1405425121 1499560000 2810850242 5621700484 7027125605 11243400968 14054251210 22486801936 28108502420 35135628025 44973603872 56217004840 70271256050 89947207744 112434009680 140542512100 175678140125 224868019360 281085024200 351356280250 449736038720 562170048400 702712560500 878390700625 1124340096800 1405425121000 1756781401250 2248680193600 2810850242000 3513562802500 5621700484000 7027125605000 11243400968000 14054251210000 28108502420000 56217004840000