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55007523441 = 3313179218623
BaseRepresentation
bin110011001110101101…
…000011001001110001
312020222120100201102000
4303032231003021301
51400123411222231
641134202044213
73655065143313
oct631655031161
9166876321360
1055007523441
1121368349582
12a7b1aa9669
135258333b50
14293b7cd7b3
15166e2d56e6
hexcceb43271

55007523441 has 32 divisors (see below), whose sum is σ = 92923729920. Its totient is φ = 31859557632.

The previous prime is 55007523413. The next prime is 55007523463. The reversal of 55007523441 is 14432570055.

55007523441 is a `hidden beast` number, since 550 + 0 + 75 + 2 + 34 + 4 + 1 = 666.

55007523441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 55007523441 - 27 = 55007523313 is a prime.

It is a super-2 number, since 2×550075234412 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55007523396 and 55007523405.

It is not an unprimeable number, because it can be changed into a prime (55007523401) 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, 4603345 + ... + 4615278.

It is an arithmetic number, because the mean of its divisors is an integer number (2903866560).

Almost surely, 255007523441 is an apocalyptic number.

55007523441 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

55007523441 is a deficient number, since it is larger than the sum of its proper divisors (37916206479).

55007523441 is a wasteful number, since it uses less digits than its factorization.

55007523441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9218662 (or 9218656 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 55007523441 in words is "fifty-five billion, seven million, five hundred twenty-three thousand, four hundred forty-one".

Divisors: 1 3 9 13 17 27 39 51 117 153 221 351 459 663 1989 5967 9218623 27655869 82967607 119842099 156716591 248902821 359526297 470149773 1078578891 1410449319 2037315683 3235736673 4231347957 6111947049 18335841147 55007523441