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56103955622016 = 27317103283329453
BaseRepresentation
bin11001100000110101110000…
…10110000110100010000000
321100122111010010112120120220
430300122320112012202000
524323201400114401031
6315153445034103040
714550243215223441
oct1460327026064200
9240574103476526
1056103955622016
1116970610359a45
1263613a527aa80
13253c770c46743
14dbd6359392c8
156745d523d596
hex3306b8586880

56103955622016 has 256 divisors, whose sum is σ = 159385990083840. Its totient is φ = 17423610937344.

The previous prime is 56103955621993. The next prime is 56103955622021. The reversal of 56103955622016 is 61022655930165.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 56103955622016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1904849146 + ... + 1904878598.

It is an arithmetic number, because the mean of its divisors is an integer number (622601523765).

Almost surely, 256103955622016 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 56103955622016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79692995041920).

56103955622016 is an abundant number, since it is smaller than the sum of its proper divisors (103282034461824).

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

56103955622016 is a wasteful number, since it uses less digits than its factorization.

56103955622016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32423 (or 32411 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 51.

The spelling of 56103955622016 in words is "fifty-six trillion, one hundred three billion, nine hundred fifty-five million, six hundred twenty-two thousand, sixteen".