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56543222448 = 24332312744809
BaseRepresentation
bin110100101010001111…
…010001101010110000
312101221121001022102000
4310222033101222300
51411300031104243
641550421254000
74041123314016
oct645217215260
9171847038360
1056543222448
1121a861a1a09
12ab60264300
13544154509b
142a457468b6
15170e0325d3
hexd2a3d1ab0

56543222448 has 160 divisors (see below), whose sum is σ = 170693836800. Its totient is φ = 17885919744.

The previous prime is 56543222377. The next prime is 56543222507. The reversal of 56543222448 is 84422234565.

It is a happy number.

56543222448 is a `hidden beast` number, since 565 + 4 + 3 + 22 + 24 + 48 = 666.

It is a super-2 number, since 2×565432224482 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 1239468 + ... + 1284276.

It is an arithmetic number, because the mean of its divisors is an integer number (1066836480).

Almost surely, 256543222448 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 56543222448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85346918400).

56543222448 is an abundant number, since it is smaller than the sum of its proper divisors (114150614352).

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

56543222448 is a wasteful number, since it uses less digits than its factorization.

56543222448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44976 (or 44964 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 45.

The spelling of 56543222448 in words is "fifty-six billion, five hundred forty-three million, two hundred twenty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 127 138 144 184 207 216 254 276 368 381 414 432 508 552 621 762 828 1016 1104 1143 1242 1524 1656 2032 2286 2484 2921 3048 3312 3429 4572 4968 5842 6096 6858 8763 9144 9936 11684 13716 17526 18288 23368 26289 27432 35052 44809 46736 52578 54864 70104 78867 89618 105156 134427 140208 157734 179236 210312 268854 315468 358472 403281 420624 537708 630936 716944 806562 1030607 1075416 1209843 1261872 1613124 2061214 2150832 2419686 3091821 3226248 4122428 4839372 5690743 6183642 6452496 8244856 9275463 9678744 11381486 12367284 16489712 17072229 18550926 19357488 22762972 24734568 27826389 34144458 37101852 45525944 49469136 51216687 55652778 68288916 74203704 91051888 102433374 111305556 130887089 136577832 148407408 153650061 204866748 222611112 261774178 273155664 307300122 392661267 409733496 445222224 523548356 614600244 785322534 819466992 1047096712 1177983801 1229200488 1570645068 2094193424 2355967602 2458400976 3141290136 3533951403 4711935204 6282580272 7067902806 9423870408 14135805612 18847740816 28271611224 56543222448