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5145003792 = 243373163147
BaseRepresentation
bin1001100101010101…
…01000011100010000
3111021120020021101000
410302222220130100
541014110110132
62210311142000
7241332545025
oct46252503420
914246207330
105145003792
112200247555
12bb7074900
1363cbcb656
1436b44954c
15201a4a87c
hex132aa8710

5145003792 has 80 divisors (see below), whose sum is σ = 14970460480. Its totient is φ = 1691497728.

The previous prime is 5145003781. The next prime is 5145003803. The reversal of 5145003792 is 2973005415.

5145003792 is a `hidden beast` number, since 514 + 50 + 0 + 3 + 7 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (5145003781) and next prime (5145003803).

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 15 ways as a sum of consecutive naturals, for example, 50038 + ... + 113109.

It is an arithmetic number, because the mean of its divisors is an integer number (187130756).

Almost surely, 25145003792 is an apocalyptic number.

It is an amenable number.

5145003792 is an abundant number, since it is smaller than the sum of its proper divisors (9825456688).

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

5145003792 is a wasteful number, since it uses less digits than its factorization.

5145003792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163237 (or 163225 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5145003792 is about 71728.6817946629. The cubic root of 5145003792 is about 1726.3488761526.

The spelling of 5145003792 in words is "five billion, one hundred forty-five million, three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 108 144 146 216 219 292 432 438 584 657 876 1168 1314 1752 1971 2628 3504 3942 5256 7884 10512 15768 31536 163147 326294 489441 652588 978882 1305176 1468323 1957764 2610352 2936646 3915528 4404969 5873292 7831056 8809938 11746584 11909731 17619876 23493168 23819462 35239752 35729193 47638924 70479504 71458386 95277848 107187579 142916772 190555696 214375158 285833544 321562737 428750316 571667088 643125474 857500632 1286250948 1715001264 2572501896 5145003792