Search a number
-
+
555050555406 = 23331331999901
BaseRepresentation
bin10000001001110111001…
…01110101100000001110
31222001200102112200102000
420010323211311200032
533043220420233111
61102553043413130
755046445606414
oct10047345654016
91861612480360
10555050555406
111a4439628586
128b6a53841a6
134045836a509
141cc166152b4
15e688ab8c56
hex813b97580e

555050555406 has 64 divisors (see below), whose sum is σ = 1273630617600. Its totient is φ = 178992828000.

The previous prime is 555050555399. The next prime is 555050555453. The reversal of 555050555406 is 604555050555.

555050555406 is a `hidden beast` number, since 5 + 5 + 5 + 0 + 50 + 55 + 540 + 6 = 666.

It is a super-2 number, since 2×5550505554062 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

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, 5506056 + ... + 5605956.

It is an arithmetic number, because the mean of its divisors is an integer number (19900478400).

Almost surely, 2555050555406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 555050555406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636815308800).

555050555406 is an abundant number, since it is smaller than the sum of its proper divisors (718580062194).

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

555050555406 is a wasteful number, since it uses less digits than its factorization.

555050555406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103262 (or 103256 counting only the distinct ones).

The product of its (nonzero) digits is 1875000, while the sum is 45.

The spelling of 555050555406 in words is "five hundred fifty-five billion, fifty million, five hundred fifty-five thousand, four hundred six".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 3319 6638 9957 19914 29871 59742 89613 99901 102889 179226 199802 205778 299703 308667 599406 617334 899109 926001 1798218 1852002 2697327 2778003 3096931 5394654 5556006 6193862 9290793 18581586 27872379 55744758 83617137 167234274 331571419 663142838 994714257 1989428514 2984142771 5968285542 8952428313 10278713989 17904856626 20557427978 30836141967 61672283934 92508425901 185016851802 277525277703 555050555406