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3749084864 = 26721962921
BaseRepresentation
bin1101111101110110…
…0111111011000000
3100200021120020120222
43133131213323000
530134231203424
61420003522212
7161622460400
oct33735477300
910607506528
103749084864
111654295a48
12887689368
1347994b615
14277cba800
1516e20ee5e
hexdf767ec0

3749084864 has 84 divisors (see below), whose sum is σ = 9109847160. Its totient is φ = 1522160640.

The previous prime is 3749084863. The next prime is 3749084887. The reversal of 3749084864 is 4684809473.

It is not an unprimeable number, because it can be changed into a prime (3749084863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28124 + ... + 91044.

Almost surely, 23749084864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3749084864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4554923580).

3749084864 is an abundant number, since it is smaller than the sum of its proper divisors (5360762296).

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

3749084864 is a wasteful number, since it uses less digits than its factorization.

3749084864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62966 (or 62949 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 53.

The square root of 3749084864 is about 61229.7710595099. The cubic root of 3749084864 is about 1553.4898631251.

The spelling of 3749084864 in words is "three billion, seven hundred forty-nine million, eighty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 112 133 152 196 224 266 304 392 448 532 608 784 931 1064 1216 1568 1862 2128 3136 3724 4256 7448 8512 14896 29792 59584 62921 125842 251684 440447 503368 880894 1006736 1195499 1761788 2013472 2390998 3083129 3523576 4026944 4781996 6166258 7047152 8368493 9563992 12332516 14094304 16736986 19127984 24665032 28188608 33473972 38255968 49330064 58579451 66947944 76511936 98660128 117158902 133895888 197320256 234317804 267791776 468635608 535583552 937271216 1874542432 3749084864