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5149936800 = 253352238423
BaseRepresentation
bin1001100101111010…
…11100110010100000
3111021220111220012000
410302331130302200
541021340434200
62211005004000
7241422512001
oct46275346240
914256456160
105149936800
112203006818
12bb8853600
13640c37aa8
1436bd711a8
152021c2300
hex132f5cca0

5149936800 has 144 divisors (see below), whose sum is σ = 18625682880. Its totient is φ = 1373310720.

The previous prime is 5149936787. The next prime is 5149936817. The reversal of 5149936800 is 86399415.

It is a happy number.

5149936800 is a `hidden beast` number, since 51 + 499 + 36 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 97612 + ... + 140811.

It is an arithmetic number, because the mean of its divisors is an integer number (129345020).

Almost surely, 25149936800 is an apocalyptic number.

5149936800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5149936800 is an abundant number, since it is smaller than the sum of its proper divisors (13475746080).

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

5149936800 is a wasteful number, since it uses less digits than its factorization.

5149936800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238452 (or 238433 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 5149936800 is about 71763.0601354206. The cubic root of 5149936800 is about 1726.9004385925.

The spelling of 5149936800 in words is "five billion, one hundred forty-nine million, nine hundred thirty-six thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 75 80 90 96 100 108 120 135 144 150 160 180 200 216 225 240 270 288 300 360 400 432 450 480 540 600 675 720 800 864 900 1080 1200 1350 1440 1800 2160 2400 2700 3600 4320 5400 7200 10800 21600 238423 476846 715269 953692 1192115 1430538 1907384 2145807 2384230 2861076 3576345 3814768 4291614 4768460 5722152 5960575 6437421 7152690 7629536 8583228 9536920 10729035 11444304 11921150 12874842 14305380 17166456 17881725 19073840 21458070 22888608 23842300 25749684 28610760 32187105 34332912 35763450 38147680 42916140 47684600 51499368 53645175 57221520 64374210 68665824 71526900 85832280 95369200 102998736 107290350 114443040 128748420 143053800 160935525 171664560 190738400 205997472 214580700 257496840 286107600 321871050 343329120 429161400 514993680 572215200 643742100 858322800 1029987360 1287484200 1716645600 2574968400 5149936800