Search a number
-
+
55007763525 = 33521113259743
BaseRepresentation
bin110011001110101101…
…111101110001000101
312020222120210220202000
4303032231331301011
51400123441413100
641134211135513
73655100163261
oct631655756105
9166876726660
1055007763525
11213684a29a0
12a7b1ba4599
1352583b9200
14293b8530a1
15166e331900
hexcceb7dc45

55007763525 has 288 divisors, whose sum is σ = 121556505600. Its totient is φ = 24169017600.

The previous prime is 55007763521. The next prime is 55007763527. The reversal of 55007763525 is 52536770055.

55007763525 is a `hidden beast` number, since 5 + 5 + 0 + 0 + 7 + 7 + 635 + 2 + 5 = 666.

It is not a de Polignac number, because 55007763525 - 22 = 55007763521 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55007763521) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 74034304 + ... + 74035046.

It is an arithmetic number, because the mean of its divisors is an integer number (422071200).

Almost surely, 255007763525 is an apocalyptic number.

55007763525 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

55007763525 is an abundant number, since it is smaller than the sum of its proper divisors (66548742075).

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

55007763525 is a wasteful number, since it uses less digits than its factorization.

55007763525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 1102500, while the sum is 45.

The spelling of 55007763525 in words is "fifty-five billion, seven million, seven hundred sixty-three thousand, five hundred twenty-five".