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55562221968 = 243111913740427
BaseRepresentation
bin110011101111110001…
…000011100110010000
312022102020010022201220
4303233301003212100
51402242412100333
641305215125040
74004612044221
oct635761034620
9168366108656
1055562221968
1121622475810
12a927813780
13531622ab26
142991343248
1516a2d558b3
hexcefc43990

55562221968 has 160 divisors (see below), whose sum is σ = 166032944640. Its totient is φ = 15834055680.

The previous prime is 55562221961. The next prime is 55562221991. The reversal of 55562221968 is 86912226555.

55562221968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 55562221968.

It is not an unprimeable number, because it can be changed into a prime (55562221961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1354171 + ... + 1394597.

It is an arithmetic number, because the mean of its divisors is an integer number (1037705904).

Almost surely, 255562221968 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 55562221968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83016472320).

55562221968 is an abundant number, since it is smaller than the sum of its proper divisors (110470722672).

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

55562221968 is a wasteful number, since it uses less digits than its factorization.

55562221968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40605 (or 40599 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 51.

The spelling of 55562221968 in words is "fifty-five billion, five hundred sixty-two million, two hundred twenty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 137 152 176 209 228 264 274 304 411 418 456 528 548 627 822 836 912 1096 1254 1507 1644 1672 2192 2508 2603 3014 3288 3344 4521 5016 5206 6028 6576 7809 9042 10032 10412 12056 15618 18084 20824 24112 28633 31236 36168 40427 41648 57266 62472 72336 80854 85899 114532 121281 124944 161708 171798 229064 242562 323416 343596 444697 458128 485124 646832 687192 768113 889394 970248 1334091 1374384 1536226 1778788 1940496 2304339 2668182 3072452 3557576 4608678 5336364 5538499 6144904 7115152 8449243 9217356 10672728 11076998 12289808 16615497 16898486 18434712 21345456 22153996 25347729 33230994 33796972 36869424 44307992 50695458 60923489 66461988 67593944 88615984 101390916 105231481 121846978 132923976 135187888 182770467 202781832 210462962 243693956 265847952 315694443 365540934 405563664 420925924 487387912 631388886 731081868 841851848 974775824 1157546291 1262777772 1462163736 1683703696 2315092582 2525555544 2924327472 3472638873 4630185164 5051111088 6945277746 9260370328 13890555492 18520740656 27781110984 55562221968