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55342010106 = 23319122943889
BaseRepresentation
bin110011100010101001…
…000000111011111010
312021211212202101212000
4303202221000323322
51401320023310411
641231311201430
73666266216145
oct634251007372
9167755671760
1055342010106
112151a138339
12a885b16276
1352ac717b56
14296ddbd05c
15168d857956
hexce2a40efa

55342010106 has 64 divisors (see below), whose sum is σ = 129563280000. Its totient is φ = 17461806336.

The previous prime is 55342010099. The next prime is 55342010161. The reversal of 55342010106 is 60101024355.

55342010106 is a `hidden beast` number, since 5 + 534 + 20 + 1 + 0 + 106 = 666.

55342010106 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-2 number, since 2×553420101062 (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 self number, because there is not a number n which added to its sum of digits gives 55342010106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1239010 + ... + 1282898.

It is an arithmetic number, because the mean of its divisors is an integer number (2024426250).

Almost surely, 255342010106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55342010106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64781640000).

55342010106 is an abundant number, since it is smaller than the sum of its proper divisors (74221269894).

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

55342010106 is a wasteful number, since it uses less digits than its factorization.

55342010106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45148 (or 45142 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 55342010106 in words is "fifty-five billion, three hundred forty-two million, ten thousand, one hundred six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 1229 2458 3687 7374 11061 22122 23351 33183 43889 46702 66366 70053 87778 131667 140106 210159 263334 395001 420318 630477 790002 833891 1185003 1260954 1667782 2370006 2501673 5003346 7505019 15010038 22515057 45030114 53939581 107879162 161818743 323637486 485456229 970912458 1024852039 1456368687 2049704078 2912737374 3074556117 6149112234 9223668351 18447336702 27671005053 55342010106