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1325314968 = 233177145751
BaseRepresentation
bin100111011111110…
…1011001110011000
310102100210222100120
41032333223032120
510203240034333
6335302033240
744561664015
oct11677531630
93370728316
101325314968
1162011882a
1230ba18820
1318175c653
14c803070c
157b540db3
hex4efeb398

1325314968 has 64 divisors (see below), whose sum is σ = 3557675520. Its totient is φ = 409920000.

The previous prime is 1325314909. The next prime is 1325314973. The reversal of 1325314968 is 8694135231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6093 + ... + 51843.

It is an arithmetic number, because the mean of its divisors is an integer number (55588680).

Almost surely, 21325314968 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 1325314968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778837760).

1325314968 is an abundant number, since it is smaller than the sum of its proper divisors (2232360552).

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

1325314968 is a wasteful number, since it uses less digits than its factorization.

1325314968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45848 (or 45844 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 1325314968 is about 36404.8756075337. The cubic root of 1325314968 is about 1098.4316404068.

The spelling of 1325314968 in words is "one billion, three hundred twenty-five million, three hundred fourteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 71 102 136 142 204 213 284 408 426 568 852 1207 1704 2414 3621 4828 7242 9656 14484 28968 45751 91502 137253 183004 274506 366008 549012 777767 1098024 1555534 2333301 3111068 3248321 4666602 6222136 6496642 9333204 9744963 12993284 18666408 19489926 25986568 38979852 55221457 77959704 110442914 165664371 220885828 331328742 441771656 662657484 1325314968