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3064749952 = 2711317989
BaseRepresentation
bin1011011010101100…
…0101111110000000
321220120212102120111
42312223011332000
522234033444302
61224040121104
7135642642025
oct26653057600
97816772514
103064749952
111332a76000
12716466194
1339ac35514
1421105d54c
1512e0d40d7
hexb6ac5f80

3064749952 has 64 divisors (see below), whose sum is σ = 6716026800. Its totient is φ = 1392990720.

The previous prime is 3064749949. The next prime is 3064749973. The reversal of 3064749952 is 2599474603.

3064749952 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 (64).

It is a junction number, because it is equal to n+sod(n) for n = 3064749896 and 3064749905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161374 + ... + 179362.

Almost surely, 23064749952 is an apocalyptic number.

3064749952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3064749952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3358013400).

3064749952 is an abundant number, since it is smaller than the sum of its proper divisors (3651276848).

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

3064749952 is an equidigital number, since it uses as much as digits as its factorization.

3064749952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18036 (or 18002 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 49.

The square root of 3064749952 is about 55360.1838147237. The cubic root of 3064749952 is about 1452.5519786906.

The spelling of 3064749952 in words is "three billion, sixty-four million, seven hundred forty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1331 1408 1936 2662 3872 5324 7744 10648 15488 17989 21296 35978 42592 71956 85184 143912 170368 197879 287824 395758 575648 791516 1151296 1583032 2176669 2302592 3166064 4353338 6332128 8706676 12664256 17413352 23943359 25328512 34826704 47886718 69653408 95773436 139306816 191546872 278613632 383093744 766187488 1532374976 3064749952