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13005747492 = 22343157160541
BaseRepresentation
bin11000001110011001…
…11111010100100100
31020120101121102112120
430013030333110210
5203113432404432
65550314145540
7640203013113
oct140714772444
936511542476
1013005747492
115574450651
12262b7222b0
1312c3634a9a
148b5423c7a
15511bd9c2c
hex30733f524

13005747492 has 48 divisors (see below), whose sum is σ = 31250463552. Its totient is φ = 4207432320.

The previous prime is 13005747467. The next prime is 13005747527. The reversal of 13005747492 is 29474750031.

13005747492 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 742 + ... + 161282.

It is an arithmetic number, because the mean of its divisors is an integer number (651051324).

Almost surely, 213005747492 is an apocalyptic number.

13005747492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13005747492 is an abundant number, since it is smaller than the sum of its proper divisors (18244716060).

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

13005747492 is a wasteful number, since it uses less digits than its factorization.

13005747492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160748 (or 160746 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 13005747492 in words is "thirteen billion, five million, seven hundred forty-seven thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 12 43 86 129 157 172 258 314 471 516 628 942 1884 6751 13502 20253 27004 40506 81012 160541 321082 481623 642164 963246 1926492 6903263 13806526 20709789 25204937 27613052 41419578 50409874 75614811 82839156 100819748 151229622 302459244 1083812291 2167624582 3251436873 4335249164 6502873746 13005747492