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5013206415 = 325721727867
BaseRepresentation
bin1001010101100111…
…10111010110001111
3110221101020021100200
410222303313112033
540231340101130
62145242224543
7235142360100
oct45263672617
913841207320
105013206415
1121429081a8
12b7aab5153
1361b803a39
14357b3c3a7
151e51b4760
hex12acf758f

5013206415 has 108 divisors (see below), whose sum is σ = 10739206296. Its totient is φ = 2156668416.

The previous prime is 5013206383. The next prime is 5013206491. The reversal of 5013206415 is 5146023105.

5013206415 is a `hidden beast` number, since 5 + 0 + 13 + 2 + 0 + 641 + 5 = 666.

It is a Cunningham number, because it is equal to 708042-1.

It is not a de Polignac number, because 5013206415 - 25 = 5013206383 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 633312 + ... + 641178.

Almost surely, 25013206415 is an apocalyptic number.

5013206415 is an abundant number, since it is smaller than the sum of its proper divisors (5725999881).

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

5013206415 is a wasteful number, since it uses less digits than its factorization.

5013206415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7926 (or 7899 counting only the distinct ones).

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

The square root of 5013206415 is about 70803.9999929383. Note that the first 5 decimals coincide. The cubic root of 5013206415 is about 1711.4801332583.

The spelling of 5013206415 in words is "five billion, thirteen million, two hundred six thousand, four hundred fifteen".

Divisors: 1 3 5 7 9 15 17 21 35 45 49 51 63 85 105 119 147 153 245 255 289 315 357 441 595 735 765 833 867 1071 1445 1785 2023 2205 2499 2601 4165 4335 5355 6069 7497 7867 10115 12495 13005 14161 18207 23601 30345 37485 39335 42483 55069 70803 70805 91035 118005 127449 133739 165207 212415 275345 354015 385483 401217 495621 637245 668695 826035 936173 1156449 1203651 1927415 2006085 2273563 2478105 2808519 3469347 4680865 5782245 6018255 6553211 6820689 8425557 11367815 14042595 15914941 17346735 19659633 20462067 32766055 34103445 42127785 47744823 58978899 79574705 98298165 102310335 111404587 143234469 238724115 294894495 334213761 557022935 716172345 1002641283 1671068805 5013206415