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55434401448 = 23317757179483
BaseRepresentation
bin110011101000001001…
…011101011010101000
312022002022121100221120
4303220021131122220
51402012201321243
641244411335240
74001500431516
oct635011353250
9168068540846
1055434401448
1121567302318
12a8b0a51520
1352c58c639a
14297c38d4b6
151696a07c83
hexce825d6a8

55434401448 has 64 divisors (see below), whose sum is σ = 146932781760. Its totient is φ = 17368114176.

The previous prime is 55434401447. The next prime is 55434401467. The reversal of 55434401448 is 84410443455.

It is not an unprimeable number, because it can be changed into a prime (55434401447) 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 15 ways as a sum of consecutive naturals, for example, 219115 + ... + 398597.

It is an arithmetic number, because the mean of its divisors is an integer number (2295824715).

Almost surely, 255434401448 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 55434401448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73466390880).

55434401448 is an abundant number, since it is smaller than the sum of its proper divisors (91498380312).

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

55434401448 is a wasteful number, since it uses less digits than its factorization.

55434401448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180266 (or 180262 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 42.

The spelling of 55434401448 in words is "fifty-five billion, four hundred thirty-four million, four hundred one thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 757 1514 2271 3028 4542 6056 9084 12869 18168 25738 38607 51476 77214 102952 154428 179483 308856 358966 538449 717932 1076898 1435864 2153796 3051211 4307592 6102422 9153633 12204844 18307266 24409688 36614532 73229064 135868631 271737262 407605893 543474524 815211786 1086949048 1630423572 2309766727 3260847144 4619533454 6929300181 9239066908 13858600362 18478133816 27717200724 55434401448