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3818736864 = 253214838941
BaseRepresentation
bin1110001110011101…
…0100110011100000
3100212010121221011200
43203213110303200
530310044034424
61430532441200
7163426504425
oct34347246340
910763557150
103818736864
11168a639588
128a6a79200
1348b1c7917
1428324bd4c
151753bc8c9
hexe39d4ce0

3818736864 has 72 divisors (see below), whose sum is σ = 10868071032. Its totient is φ = 1271911680.

The previous prime is 3818736797. The next prime is 3818736881. The reversal of 3818736864 is 4686378183.

3818736864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3818736864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 422634 + ... + 431574.

It is an arithmetic number, because the mean of its divisors is an integer number (150945431).

Almost surely, 23818736864 is an apocalyptic number.

It is an amenable number.

3818736864 is an abundant number, since it is smaller than the sum of its proper divisors (7049334168).

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

3818736864 is a wasteful number, since it uses less digits than its factorization.

3818736864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10440 (or 10429 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 3818736864 is about 61795.9291863145. The cubic root of 3818736864 is about 1563.0513452604.

The spelling of 3818736864 in words is "three billion, eight hundred eighteen million, seven hundred thirty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1483 2966 4449 5932 8898 8941 11864 13347 17796 17882 23728 26694 26823 35592 35764 47456 53388 53646 71184 71528 80469 106776 107292 142368 143056 160938 213552 214584 286112 321876 427104 429168 643752 858336 1287504 2575008 13259503 26519006 39778509 53038012 79557018 106076024 119335527 159114036 212152048 238671054 318228072 424304096 477342108 636456144 954684216 1272912288 1909368432 3818736864