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55806110208 = 2932106911329
BaseRepresentation
bin110011111110010011…
…011010101000000000
312100001020001010111200
4303332103122220000
51403242331011313
641345330341200
74013633052522
oct637623325000
9170036033450
1055806110208
1121738104642
12a99542a800
1353549106b4
1429b58aba12
1516b947db73
hexcfe4daa00

55806110208 has 120 divisors (see below), whose sum is σ = 161225106900. Its totient is φ = 18582994944.

The previous prime is 55806110201. The next prime is 55806110219. The reversal of 55806110208 is 80201160855.

55806110208 is a `hidden beast` number, since 5 + 580 + 61 + 10 + 2 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55341621504 + 464488704 = 235248^2 + 21552^2 .

It is a super-2 number, since 2×558061102082 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (55806110201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4920288 + ... + 4931616.

Almost surely, 255806110208 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 55806110208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80612553450).

55806110208 is an abundant number, since it is smaller than the sum of its proper divisors (105418996692).

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

55806110208 is a wasteful number, since it uses less digits than its factorization.

55806110208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12422 (or 12403 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 55806110208 in words is "fifty-five billion, eight hundred six million, one hundred ten thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1069 1152 1536 2138 2304 3207 4276 4608 6414 8552 9621 11329 12828 17104 19242 22658 25656 33987 34208 38484 45316 51312 67974 68416 76968 90632 101961 102624 135948 136832 153936 181264 203922 205248 271896 273664 307872 362528 407844 410496 543792 547328 615744 725056 815688 820992 1087584 1231488 1450112 1631376 1641984 2175168 2462976 2900224 3262752 4350336 4925952 5800448 6525504 8700672 12110701 13051008 17401344 24221402 26102016 36332103 48442804 52204032 72664206 96885608 108996309 145328412 193771216 217992618 290656824 387542432 435985236 581313648 775084864 871970472 1162627296 1550169728 1743940944 2325254592 3100339456 3487881888 4650509184 6200678912 6975763776 9301018368 13951527552 18602036736 27903055104 55806110208