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2660434464 = 25337973121
BaseRepresentation
bin1001111010010011…
…0000001000100000
320212102002001222210
42132210300020200
520422032400324
61115554202120
7122633214462
oct23644601040
96772061883
102660434464
111145822876
12622b83340
1333524289c
141b3494132
1510886bd29
hex9e930220

2660434464 has 48 divisors (see below), whose sum is σ = 7002162720. Its totient is φ = 884459520.

The previous prime is 2660434463. The next prime is 2660434487. The reversal of 2660434464 is 4644340662.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2660434463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177 + ... + 72944.

It is an arithmetic number, because the mean of its divisors is an integer number (145878390).

Almost surely, 22660434464 is an apocalyptic number.

2660434464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2660434464 is an abundant number, since it is smaller than the sum of its proper divisors (4341728256).

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

2660434464 is a wasteful number, since it uses less digits than its factorization.

2660434464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73513 (or 73505 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 39.

The square root of 2660434464 is about 51579.3996087585. The cubic root of 2660434464 is about 1385.6414140363.

The spelling of 2660434464 in words is "two billion, six hundred sixty million, four hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 379 758 1137 1516 2274 3032 4548 6064 9096 12128 18192 36384 73121 146242 219363 292484 438726 584968 877452 1169936 1754904 2339872 3509808 7019616 27712859 55425718 83138577 110851436 166277154 221702872 332554308 443405744 665108616 886811488 1330217232 2660434464