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2691457696 = 253110126863
BaseRepresentation
bin1010000001101100…
…0110001010100000
320221120110012212101
42200123012022200
521003003121241
61123023140144
7123461004304
oct24033061240
96846405771
102691457696
111161292004
12631444654
1333b7b5525
141b764bd04
1510b448e31
hexa06c62a0

2691457696 has 48 divisors (see below), whose sum is σ = 5524098048. Its totient is φ = 1289376000.

The previous prime is 2691457667. The next prime is 2691457729. The reversal of 2691457696 is 6967541962.

It is a happy number.

It is an unprimeable number.

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, 86761 + ... + 113623.

It is an arithmetic number, because the mean of its divisors is an integer number (115085376).

Almost surely, 22691457696 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 2691457696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762049024).

2691457696 is an abundant number, since it is smaller than the sum of its proper divisors (2832640352).

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

2691457696 is a wasteful number, since it uses less digits than its factorization.

2691457696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27005 (or 26997 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 55.

The square root of 2691457696 is about 51879.2607503230. The cubic root of 2691457696 is about 1391.0065852145.

The spelling of 2691457696 in words is "two billion, six hundred ninety-one million, four hundred fifty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 31 32 62 101 124 202 248 404 496 808 992 1616 3131 3232 6262 12524 25048 26863 50096 53726 100192 107452 214904 429808 832753 859616 1665506 2713163 3331012 5426326 6662024 10852652 13324048 21705304 26648096 43410608 84108053 86821216 168216106 336432212 672864424 1345728848 2691457696