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56828125000 = 23593637
BaseRepresentation
bin110100111011001110…
…000101111101001000
312102200110010212020101
4310323032011331020
51412341000000000
642034555535144
74051153043503
oct647316057510
9172613125211
1056828125000
1122111aa4469
12b01b75a4b4
13548858808a
142a7150a13a
15172905ce6a
hexd3b385f48

56828125000 has 80 divisors (see below), whose sum is σ = 133227525420. Its totient is φ = 22725000000.

The previous prime is 56828124967. The next prime is 56828125009. The reversal of 56828125000 is 52182865.

It can be written as a sum of positive squares in 10 ways, for example, as 19278211716 + 37549913284 = 138846^2 + 193778^2 .

It is not an unprimeable number, because it can be changed into a prime (56828125009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15623182 + ... + 15626818.

Almost surely, 256828125000 is an apocalyptic number.

56828125000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56828125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66613762710).

56828125000 is an abundant number, since it is smaller than the sum of its proper divisors (76399400420).

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

56828125000 is an frugal number, since it uses more digits than its factorization.

56828125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The spelling of 56828125000 in words is "fifty-six billion, eight hundred twenty-eight million, one hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 3637 5000 6250 7274 12500 14548 15625 18185 25000 29096 31250 36370 62500 72740 78125 90925 125000 145480 156250 181850 312500 363700 390625 454625 625000 727400 781250 909250 1562500 1818500 1953125 2273125 3125000 3637000 3906250 4546250 7812500 9092500 11365625 15625000 18185000 22731250 45462500 56828125 90925000 113656250 227312500 284140625 454625000 568281250 1136562500 1420703125 2273125000 2841406250 5682812500 7103515625 11365625000 14207031250 28414062500 56828125000