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55828431846 = 23311821114479
BaseRepresentation
bin110011111111101000…
…100100001111100110
312100002210001012001000
4303333220210033212
51403314034304341
641351445014130
74014323561265
oct637750441746
9170083035030
1055828431846
1121749770180
12a9a09b4346
135359427775
1429b883c5dc
1516bb3dc8b6
hexcffa243e6

55828431846 has 64 divisors (see below), whose sum is σ = 135507686400. Its totient is φ = 16896952800.

The previous prime is 55828431809. The next prime is 55828431863. The reversal of 55828431846 is 64813482855.

55828431846 is a `hidden beast` number, since 5 + 5 + 8 + 284 + 318 + 46 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 55828431792 and 55828431801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 430435 + ... + 544913.

It is an arithmetic number, because the mean of its divisors is an integer number (2117307600).

Almost surely, 255828431846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55828431846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67753843200).

55828431846 is an abundant number, since it is smaller than the sum of its proper divisors (79679254554).

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

55828431846 is a wasteful number, since it uses less digits than its factorization.

55828431846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115322 (or 115316 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The spelling of 55828431846 in words is "fifty-five billion, eight hundred twenty-eight million, four hundred thirty-one thousand, eight hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 821 1642 2463 4926 7389 9031 14778 18062 22167 27093 44334 54186 81279 114479 162558 228958 243837 343437 487674 686874 1030311 1259269 2060622 2518538 3090933 3777807 6181866 7555614 11333421 22666842 34000263 68000526 93987259 187974518 281961777 563923554 845885331 1033859849 1691770662 2067719698 2537655993 3101579547 5075311986 6203159094 9304738641 18609477282 27914215923 55828431846