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5000948640 = 253351157627
BaseRepresentation
bin1001010100001010…
…00110101110100000
3110220112011111212000
410222011012232200
540220220324030
62144123404000
7234633235122
oct45205065640
913815144760
105000948640
1121369a5806
12b76983600
1361910160c
1435626b212
151e4092860
hex12a146ba0

5000948640 has 96 divisors (see below), whose sum is σ = 17503335360. Its totient is φ = 1333585152.

The previous prime is 5000948629. The next prime is 5000948651. The reversal of 5000948640 is 468490005.

5000948640 is a `hidden beast` number, since 5 + 0 + 0 + 0 + 9 + 4 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (5000948629) and next prime (5000948651).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5000948595 and 5000948604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 574494 + ... + 583133.

It is an arithmetic number, because the mean of its divisors is an integer number (182326410).

Almost surely, 25000948640 is an apocalyptic number.

It is an amenable number.

5000948640 is an abundant number, since it is smaller than the sum of its proper divisors (12502386720).

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

5000948640 is a wasteful number, since it uses less digits than its factorization.

5000948640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157651 (or 1157637 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5000948640 is about 70717.3856982850. The cubic root of 5000948640 is about 1710.0840832769.

The spelling of 5000948640 in words is "five billion, nine hundred forty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 1157627 2315254 3472881 4630508 5788135 6945762 9261016 10418643 11576270 13891524 17364405 18522032 20837286 23152540 27783048 31255929 34728810 37044064 41674572 46305080 52093215 55566096 62511858 69457620 83349144 92610160 104186430 111132192 125023716 138915240 156279645 166698288 185220320 208372860 250047432 277830480 312559290 333396576 416745720 500094864 555660960 625118580 833491440 1000189728 1250237160 1666982880 2500474320 5000948640