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2464012464 = 24368297517
BaseRepresentation
bin1001001011011101…
…1101100010110000
320100201110210122220
42102313131202300
520021241344324
61044300201040
7115026521544
oct22267354260
96321423586
102464012464
111054964041
12589239180
1330363c054
14195363a24
15e64bcb79
hex92ddd8b0

2464012464 has 40 divisors (see below), whose sum is σ = 6367144560. Its totient is φ = 821107968.

The previous prime is 2464012433. The next prime is 2464012469. The reversal of 2464012464 is 4642104642.

2464012464 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2464012469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 324034 + ... + 331550.

It is an arithmetic number, because the mean of its divisors is an integer number (159178614).

Almost surely, 22464012464 is an apocalyptic number.

2464012464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2464012464 is an abundant number, since it is smaller than the sum of its proper divisors (3903132096).

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

2464012464 is a wasteful number, since it uses less digits than its factorization.

2464012464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14357 (or 14351 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 2464012464 is about 49638.8201310225. The cubic root of 2464012464 is about 1350.6649607510.

It can be divided in two parts, 246401 and 2464, that added together give a triangular number (248865 = T705).

The spelling of 2464012464 in words is "two billion, four hundred sixty-four million, twelve thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 6829 7517 13658 15034 20487 22551 27316 30068 40974 45102 54632 60136 81948 90204 109264 120272 163896 180408 327792 360816 51333593 102667186 154000779 205334372 308001558 410668744 616003116 821337488 1232006232 2464012464