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5314742820 = 22325181163129
BaseRepresentation
bin1001111001100100…
…01000101000100100
3111201101121220112200
410330302020220210
541341033232240
62235213214500
7245463366012
oct47462105044
914641556480
105314742820
112288040a42
121043a91430
1366911bc4a
14385bd18b2
152118c8930
hex13cc88a24

5314742820 has 72 divisors (see below), whose sum is σ = 16210554360. Its totient is φ = 1409425920.

The previous prime is 5314742819. The next prime is 5314742837. The reversal of 5314742820 is 282474135.

It is a happy number.

5314742820 is a `hidden beast` number, since 531 + 4 + 7 + 42 + 82 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 131606784 + 5183136036 = 11472^2 + 71994^2 .

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

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 23 ways as a sum of consecutive naturals, for example, 48985 + ... + 114144.

Almost surely, 25314742820 is an apocalyptic number.

It is an amenable number.

5314742820 is an abundant number, since it is smaller than the sum of its proper divisors (10895811540).

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

5314742820 is a wasteful number, since it uses less digits than its factorization.

5314742820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163325 (or 163320 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5314742820 is about 72902.2826803112. The cubic root of 5314742820 is about 1745.1285275183.

The spelling of 5314742820 in words is "five billion, three hundred fourteen million, seven hundred forty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 181 362 543 724 905 1086 1629 1810 2172 2715 3258 3620 5430 6516 8145 10860 16290 32580 163129 326258 489387 652516 815645 978774 1468161 1631290 1957548 2446935 2936322 3262580 4893870 5872644 7340805 9787740 14681610 29363220 29526349 59052698 88579047 118105396 147631745 177158094 265737141 295263490 354316188 442895235 531474282 590526980 885790470 1062948564 1328685705 1771580940 2657371410 5314742820