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55240125006 = 231117149330427
BaseRepresentation
bin110011011100100100…
…010110101001001110
312021120210001002202210
4303130210112221032
51401112433000011
641213231331250
73663621213063
oct633444265116
9167523032683
1055240125006
1121477679580
12a857980b26
135294594301
14296065ac6a
15168492e6a6
hexcdc916a4e

55240125006 has 64 divisors (see below), whose sum is σ = 128470406400. Its totient is φ = 15648975360.

The previous prime is 55240124999. The next prime is 55240125007. The reversal of 55240125006 is 60052104255.

55240125006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×552401250064 (a number of 44 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55240125007) 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, 1965 + ... + 332391.

It is an arithmetic number, because the mean of its divisors is an integer number (2007350100).

Almost surely, 255240125006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55240125006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64235203200).

55240125006 is an abundant number, since it is smaller than the sum of its proper divisors (73230281394).

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

55240125006 is a wasteful number, since it uses less digits than its factorization.

55240125006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330609.

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 55240125006 in words is "fifty-five billion, two hundred forty million, one hundred twenty-five thousand, six".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 149 187 298 374 447 561 894 1122 1639 2533 3278 4917 5066 7599 9834 15198 27863 55726 83589 167178 330427 660854 991281 1982562 3634697 5617259 7269394 10904091 11234518 16851777 21808182 33703554 49233623 61789849 98467246 123579698 147700869 185369547 295401738 370739094 541569853 836971591 1083139706 1624709559 1673943182 2510914773 3249419118 5021829546 9206687501 18413375002 27620062503 55240125006