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55095266340 = 22335173191093
BaseRepresentation
bin110011010011111011…
…110000110000100100
312021012200110112001000
4303103323300300210
51400313342010330
641151014433300
73660212015442
oct632373606044
9167180415030
1055095266340
1121402929074
12a817362830
13527057561a
14294930db92
151676d68560
hexcd3ef0c24

55095266340 has 384 divisors, whose sum is σ = 191878848000. Its totient is φ = 13088065536.

The previous prime is 55095266333. The next prime is 55095266341. The reversal of 55095266340 is 4366259055.

55095266340 is a `hidden beast` number, since 5 + 5 + 0 + 9 + 5 + 2 + 6 + 634 + 0 = 666.

55095266340 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-3 number, since 3×550952663403 (a number of 33 digits) contains 333 as substring.

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 (55095266341) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50406834 + ... + 50407926.

It is an arithmetic number, because the mean of its divisors is an integer number (499684500).

Almost surely, 255095266340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55095266340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95939424000).

55095266340 is an abundant number, since it is smaller than the sum of its proper divisors (136783581660).

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

55095266340 is a wasteful number, since it uses less digits than its factorization.

55095266340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 55095266340 in words is "fifty-five billion, ninety-five million, two hundred sixty-six thousand, three hundred forty".