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1312081792 = 2772276451
BaseRepresentation
bin100111000110100…
…1100011110000000
310101102220122211221
41032031030132000
510141343104132
6334110244424
744341340230
oct11615143600
93342818757
101312081792
116136aa51a
123074b6714
1317baa8278
14c6387cc0
157a2c9e97
hex4e34c780

1312081792 has 64 divisors (see below), whose sum is σ = 3000954240. Its totient is φ = 559756800.

The previous prime is 1312081787. The next prime is 1312081801. The reversal of 1312081792 is 2971802131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200167 + ... + 206617.

It is an arithmetic number, because the mean of its divisors is an integer number (46889910).

Almost surely, 21312081792 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 1312081792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500477120).

1312081792 is an abundant number, since it is smaller than the sum of its proper divisors (1688872448).

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

1312081792 is an equidigital number, since it uses as much as digits as its factorization.

1312081792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6699 (or 6687 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 1312081792 is about 36222.6695868761. The cubic root of 1312081792 is about 1094.7634837335.

The spelling of 1312081792 in words is "one billion, three hundred twelve million, eighty-one thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 227 448 454 896 908 1589 1816 3178 3632 6356 6451 7264 12712 12902 14528 25424 25804 29056 45157 50848 51608 90314 101696 103216 180628 203392 206432 361256 412864 722512 825728 1445024 1464377 2890048 2928754 5780096 5857508 10250639 11715016 20501278 23430032 41002556 46860064 82005112 93720128 164010224 187440256 328020448 656040896 1312081792