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55305813975 = 35217331313093
BaseRepresentation
bin110011100000011110…
…111011111111010111
312021202100122110002120
4303200132323333113
51401231242021400
641223535311023
73665346443106
oct634036737727
9167670573076
1055305813975
1121500765685
12a87597b473
1352a5083819
14296927a03d
15168a5a7ca0
hexce07bbfd7

55305813975 has 48 divisors (see below), whose sum is σ = 96854327712. Its totient is φ = 27750850560.

The previous prime is 55305813971. The next prime is 55305813989. The reversal of 55305813975 is 57931850355.

It is a happy number.

It is not a de Polignac number, because 55305813975 - 22 = 55305813971 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55305813971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4217529 + ... + 4230621.

It is an arithmetic number, because the mean of its divisors is an integer number (2017798494).

Almost surely, 255305813975 is an apocalyptic number.

55305813975 is a deficient number, since it is larger than the sum of its proper divisors (41548513737).

55305813975 is a wasteful number, since it uses less digits than its factorization.

55305813975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16436 (or 16431 counting only the distinct ones).

The product of its (nonzero) digits is 2835000, while the sum is 51.

The spelling of 55305813975 in words is "fifty-five billion, three hundred five million, eight hundred thirteen thousand, nine hundred seventy-five".

Divisors: 1 3 5 15 17 25 51 75 85 255 425 1275 3313 9939 13093 16565 39279 49695 56321 65465 82825 168963 196395 222581 248475 281605 327325 667743 844815 981975 1112905 1408025 3338715 4224075 5564525 16693575 43377109 130131327 216885545 650656635 737410853 1084427725 2212232559 3253283175 3687054265 11061162795 18435271325 55305813975