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10005056046 = 2324327147699
BaseRepresentation
bin10010101000101100…
…10000101000101110
3221211021021111201100
421110112100220232
5130442243243141
64332443023530
7502635400416
oct112426205056
927737244640
1010005056046
114274658767
121b3280aba6
13c35a6a90b
146acabb646
153d855b0b6
hex254590a2e

10005056046 has 48 divisors (see below), whose sum is σ = 22264070400. Its totient is φ = 3245371920.

The previous prime is 10005056021. The next prime is 10005056059. The reversal of 10005056046 is 64065050001.

It is a happy number.

10005056046 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 50 + 5 + 604 + 6 = 666.

It is a super-2 number, since 2×100050560462 (a number of 21 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 23 ways as a sum of consecutive naturals, for example, 185905 + ... + 233603.

It is an arithmetic number, because the mean of its divisors is an integer number (463834800).

Almost surely, 210005056046 is an apocalyptic number.

10005056046 is an abundant number, since it is smaller than the sum of its proper divisors (12259014354).

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

10005056046 is a wasteful number, since it uses less digits than its factorization.

10005056046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48021 (or 48018 counting only the distinct ones).

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

The spelling of 10005056046 in words is "ten billion, five million, fifty-six thousand, forty-six".

Divisors: 1 2 3 6 9 18 43 86 129 258 271 387 542 774 813 1626 2439 4878 11653 23306 34959 47699 69918 95398 104877 143097 209754 286194 429291 858582 2051057 4102114 6153171 12306342 12926429 18459513 25852858 36919026 38779287 77558574 116337861 232675722 555836447 1111672894 1667509341 3335018682 5002528023 10005056046