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1312060464 = 2433111367317
BaseRepresentation
bin100111000110100…
…0111010000110000
310101102212120121000
41032031013100300
510141341413324
6334110002000
744341221111
oct11615072060
93342776530
101312060464
116136954a0
123074a6300
1317ba9b650
14c6380208
157a2c39c9
hex4e347430

1312060464 has 320 divisors, whose sum is σ = 4504711680. Its totient is φ = 360391680.

The previous prime is 1312060331. The next prime is 1312060481. The reversal of 1312060464 is 4640602131.

1312060464 is a `hidden beast` number, since 1 + 31 + 20 + 604 + 6 + 4 = 666.

It is a super-2 number, since 2×13120604642 = 3443005322383790592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 4138834 + ... + 4139150.

It is an arithmetic number, because the mean of its divisors is an integer number (14077224).

Almost surely, 21312060464 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 1312060464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252355840).

1312060464 is an abundant number, since it is smaller than the sum of its proper divisors (3192651216).

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

1312060464 is a wasteful number, since it uses less digits than its factorization.

1312060464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1312060464 is about 36222.3751844078. The cubic root of 1312060464 is about 1094.7575518771.

Adding to 1312060464 its reverse (4640602131), we get a palindrome (5952662595).

The spelling of 1312060464 in words is "one billion, three hundred twelve million, sixty thousand, four hundred sixty-four".