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1268643264 = 2637943931
BaseRepresentation
bin100101110011101…
…1111010111000000
310021102011202101120
41023213133113000
510044233041024
6325515232240
743303201260
oct11347372700
93242152346
101268643264
115a1130509
122b4a48680
13172aa95b5
14c06bb7a0
1576599479
hex4b9df5c0

1268643264 has 56 divisors (see below), whose sum is σ = 3836139648. Its totient is φ = 362469120.

The previous prime is 1268643263. The next prime is 1268643301. The reversal of 1268643264 is 4623468621.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268643263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 470622 + ... + 473309.

Almost surely, 21268643264 is an apocalyptic number.

1268643264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1268643264 is an abundant number, since it is smaller than the sum of its proper divisors (2567496384).

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

1268643264 is an equidigital number, since it uses as much as digits as its factorization.

1268643264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943953 (or 943943 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 1268643264 is about 35618.0188107087. The cubic root of 1268643264 is about 1082.5463647165.

The spelling of 1268643264 in words is "one billion, two hundred sixty-eight million, six hundred forty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 943931 1887862 2831793 3775724 5663586 6607517 7551448 11327172 13215034 15102896 19822551 22654344 26430068 30205792 39645102 45308688 52860136 60411584 79290204 90617376 105720272 158580408 181234752 211440544 317160816 422881088 634321632 1268643264