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560000000056 = 237101354127961
BaseRepresentation
bin10000010011000101001…
…10011110000000111000
31222112110100210112001211
420021202212132000320
533133340000000211
61105132131252504
755313215314250
oct10114246360070
91875410715054
10560000000056
111a6549445602
1290646a4a134
1340a668a7ca3
141d165ab6960
15e878385e21
hex826299e038

560000000056 has 64 divisors (see below), whose sum is σ = 1212266784960. Its totient is φ = 237548160000.

The previous prime is 560000000051. The next prime is 560000000059. The reversal of 560000000056 is 650000000065.

It is a junction number, because it is equal to n+sod(n) for n = 559999999964 and 560000000036.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (560000000051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20013916 + ... + 20041876.

It is an arithmetic number, because the mean of its divisors is an integer number (18941668515).

Almost surely, 2560000000056 is an apocalyptic number.

560000000056 is a gapful number since it is divisible by the number (56) 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 560000000056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606133392480).

560000000056 is an abundant number, since it is smaller than the sum of its proper divisors (652266784904).

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

560000000056 is a wasteful number, since it uses less digits than its factorization.

560000000056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31616 (or 31612 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

Adding to 560000000056 its reverse (650000000065), we get a palindrome (1210000000121).

Subtracting 560000000056 from its reverse (650000000065), we obtain a palindrome (90000000009).

It can be divided in two parts, 5600000000 and 56, that multiplied together give a square (313600000000 = 5600002).

The spelling of 560000000056 in words is "five hundred sixty billion, fifty-six", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 28 56 101 202 404 707 808 1414 2828 3541 5656 7082 14164 24787 27961 28328 49574 55922 99148 111844 195727 198296 223688 357641 391454 715282 782908 1430564 1565816 2503487 2824061 2861128 5006974 5648122 10013948 11296244 19768427 20027896 22592488 39536854 79073708 99009901 158147416 198019802 396039604 693069307 792079208 1386138614 2772277228 5544554456 10000000001 20000000002 40000000004 70000000007 80000000008 140000000014 280000000028 560000000056