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56224522252544 = 2810114519149771
BaseRepresentation
bin11001100100010110010101…
…01011010011000100000000
321101002000022121221000001012
430302023022223103010000
524332140310144040134
6315325104451300052
714562042034534052
oct1462131253230400
9241060277830035
1056224522252544
1116a0776004aa58
1263808328aa628
13254ac46644b39
14dc53d221d8d2
156777ded1e6ce
hex3322caad3100

56224522252544 has 72 divisors (see below), whose sum is σ = 113349162991680. Its totient is φ = 27831819008000.

The previous prime is 56224522252469. The next prime is 56224522252597. The reversal of 56224522252544 is 44525222542265.

It is a happy number.

It is a super-2 number, since 2×562245222525442 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56224522252492 and 56224522252501.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 375328379 + ... + 375478149.

It is an arithmetic number, because the mean of its divisors is an integer number (1574293930440).

Almost surely, 256224522252544 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 56224522252544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56674581495840).

56224522252544 is an abundant number, since it is smaller than the sum of its proper divisors (57124640739136).

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

56224522252544 is a wasteful number, since it uses less digits than its factorization.

56224522252544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164407 (or 164393 counting only the distinct ones).

The product of its digits is 15360000, while the sum is 50.

The spelling of 56224522252544 in words is "fifty-six trillion, two hundred twenty-four billion, five hundred twenty-two million, two hundred fifty-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 808 1616 3232 6464 12928 14519 25856 29038 58076 116152 149771 232304 299542 464608 599084 929216 1198168 1466419 1858432 2396336 2932838 3716864 4792672 5865676 9585344 11731352 15126871 19170688 23462704 30253742 38341376 46925408 60507484 93850816 121014968 187701632 242029936 375403264 484059872 968119744 1936239488 2174525149 3872478976 4349050298 8698100596 17396201192 34792402384 69584804768 139169609536 219627040049 278339219072 439254080098 556678438144 878508160196 1757016320392 3514032640784 7028065281568 14056130563136 28112261126272 56224522252544