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2438717664 = 25325403309
BaseRepresentation
bin1001000101011011…
…1110000011100000
320021221212200201110
42101112332003200
514443302431124
61041554103320
7114301521015
oct22126760340
96257780643
102438717664
111041657749
1258087ab40
132cb323906
14191c5b70c
15e4173029
hex915be0e0

2438717664 has 24 divisors (see below), whose sum is σ = 6401634120. Its totient is φ = 812905856.

The previous prime is 2438717653. The next prime is 2438717681. The reversal of 2438717664 is 4667178342.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12701559 + ... + 12701750.

It is an arithmetic number, because the mean of its divisors is an integer number (266734755).

Almost surely, 22438717664 is an apocalyptic number.

2438717664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2438717664 is an abundant number, since it is smaller than the sum of its proper divisors (3962916456).

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

2438717664 is a wasteful number, since it uses less digits than its factorization.

2438717664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25403322 (or 25403314 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 48.

The square root of 2438717664 is about 49383.3743683033. The cubic root of 2438717664 is about 1346.0272163718.

The spelling of 2438717664 in words is "two billion, four hundred thirty-eight million, seven hundred seventeen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 25403309 50806618 76209927 101613236 152419854 203226472 304839708 406452944 609679416 812905888 1219358832 2438717664