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55231125644448 = 25321314751903217
BaseRepresentation
bin11001000111011011111111…
…00111111110010010100000
321020120001012002221122022200
430203231333213332102200
524214401321131110243
6313244455010333200
714430213531640335
oct1443557747762240
9236501162848280
1055231125644448
1116664430610146
1262401b428a200
1324a837145a7b0
14d8d2b4bb298c
1565ba4d17dad3
hex323b7f9fe4a0

55231125644448 has 72 divisors (see below), whose sum is σ = 169145322297588. Its totient is φ = 16994192504832.

The previous prime is 55231125644423. The next prime is 55231125644449. The reversal of 55231125644448 is 84444652113255.

55231125644448 is a `hidden beast` number, since 5 + 5 + 2 + 31 + 1 + 2 + 564 + 4 + 4 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51800436351504 + 3430689292944 = 7197252^2 + 1852212^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 55231125644394 and 55231125644403.

It is not an unprimeable number, because it can be changed into a prime (55231125644449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7375947865 + ... + 7375955352.

Almost surely, 255231125644448 is an apocalyptic number.

It is an amenable number.

55231125644448 is an abundant number, since it is smaller than the sum of its proper divisors (113914196653140).

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

55231125644448 is a wasteful number, since it uses less digits than its factorization.

55231125644448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14751903246 (or 14751903235 counting only the distinct ones).

The product of its digits is 18432000, while the sum is 54.

The spelling of 55231125644448 in words is "fifty-five trillion, two hundred thirty-one billion, one hundred twenty-five million, six hundred forty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 14751903217 29503806434 44255709651 59007612868 88511419302 118015225736 132767128953 177022838604 191774741821 236030451472 265534257906 354045677208 383549483642 472060902944 531068515812 575324225463 708091354416 767098967284 1062137031624 1150648450926 1416182708832 1534197934568 1725972676389 2124274063248 2301296901852 3068395869136 3451945352778 4248548126496 4602593803704 6136791738272 6903890705556 9205187607408 13807781411112 18410375214816 27615562822224 55231125644448