Search a number
-
+
55050105006 = 235138713217
BaseRepresentation
bin110011010001001111…
…011111000010101110
312021002112111002100000
4303101033133002232
51400220311330011
641142322445130
73656123112651
oct632117370256
9167075432300
1055050105006
112138a392756
12a8042037a6
1352640c2740
142943315898
151672de7356
hexcd13df0ae

55050105006 has 48 divisors (see below), whose sum is σ = 133207676784. Its totient is φ = 16938491904.

The previous prime is 55050104999. The next prime is 55050105013. The reversal of 55050105006 is 60050105055.

55050105006 is a `hidden beast` number, since 550 + 5 + 0 + 105 + 0 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (55050104999) and next prime (55050105013).

It is a super-2 number, since 2×550501050062 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4350291 + ... + 4362926.

It is an arithmetic number, because the mean of its divisors is an integer number (2775159933).

Almost surely, 255050105006 is an apocalyptic number.

55050105006 is an abundant number, since it is smaller than the sum of its proper divisors (78157571778).

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

55050105006 is a wasteful number, since it uses less digits than its factorization.

55050105006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8713247 (or 8713235 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The spelling of 55050105006 in words is "fifty-five billion, fifty million, one hundred five thousand, six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 1053 2106 3159 6318 8713217 17426434 26139651 52279302 78418953 113271821 156837906 226543642 235256859 339815463 470513718 679630926 705770577 1019446389 1411541154 2038892778 2117311731 3058339167 4234623462 6116678334 9175017501 18350035002 27525052503 55050105006