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56620247456 = 25192633171117
BaseRepresentation
bin110100101110110101…
…000110100110100000
312102010221222120212002
4310232311012212200
51411424240404311
642002212223132
74043050106513
oct645665064640
9172127876762
1056620247456
1122015720a43
12ab8200aaa8
1354544a3306
142a51a76d7a
151715b9993b
hexd2ed469a0

56620247456 has 96 divisors (see below), whose sum is σ = 118261503360. Its totient is φ = 26610011136.

The previous prime is 56620247443. The next prime is 56620247491. The reversal of 56620247456 is 65474202665.

It is a self number, because there is not a number n which added to its sum of digits gives 56620247456.

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 15 ways as a sum of consecutive naturals, for example, 50689010 + ... + 50690126.

It is an arithmetic number, because the mean of its divisors is an integer number (1231890660).

Almost surely, 256620247456 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 56620247456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59130751680).

56620247456 is an abundant number, since it is smaller than the sum of its proper divisors (61641255904).

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

56620247456 is a wasteful number, since it uses less digits than its factorization.

56620247456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 47.

The spelling of 56620247456 in words is "fifty-six billion, six hundred twenty million, two hundred forty-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 19 32 38 76 152 263 304 317 526 608 634 1052 1117 1268 2104 2234 2536 4208 4468 4997 5072 6023 8416 8936 9994 10144 12046 17872 19988 21223 24092 35744 39976 42446 48184 79952 83371 84892 96368 159904 166742 169784 192736 293771 333484 339568 354089 587542 666968 679136 708178 1175084 1333936 1416356 1584049 2350168 2667872 2832712 3168098 4700336 5581649 5665424 6336196 6727691 9400672 11163298 11330848 12672392 13455382 22326596 25344784 26910764 44653192 50689568 53821528 89306384 93125407 107643056 178612768 186250814 215286112 372501628 745003256 1490006512 1769382733 2980013024 3538765466 7077530932 14155061864 28310123728 56620247456