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1319318964 = 2232101491739
BaseRepresentation
bin100111010100011…
…0011010110110100
310101221112100101100
41032220303112310
510200221201324
6334525330100
744460011655
oct11650632664
93357470340
101319318964
116177a2957
12309a06930
13180440412
14c730d52c
157ac594c9
hex4ea335b4

1319318964 has 72 divisors (see below), whose sum is σ = 3379390560. Its totient is φ = 433944000.

The previous prime is 1319318873. The next prime is 1319318971. The reversal of 1319318964 is 4698139131.

1319318964 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1784907 + ... + 1785645.

It is an arithmetic number, because the mean of its divisors is an integer number (46935980).

Almost surely, 21319318964 is an apocalyptic number.

It is an amenable number.

1319318964 is an abundant number, since it is smaller than the sum of its proper divisors (2060071596).

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

1319318964 is a wasteful number, since it uses less digits than its factorization.

1319318964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1336 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 1319318964 is about 36322.4305904767. The cubic root of 1319318964 is about 1096.7726239562.

The spelling of 1319318964 in words is "one billion, three hundred nineteen million, three hundred eighteen thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 491 606 739 909 982 1212 1473 1478 1818 1964 2217 2946 2956 3636 4419 4434 5892 6651 8838 8868 13302 17676 26604 49591 74639 99182 148773 149278 198364 223917 297546 298556 362849 446319 447834 595092 671751 725698 892638 895668 1088547 1343502 1451396 1785276 2177094 2687004 3265641 4354188 6531282 13062564 36647749 73295498 109943247 146590996 219886494 329829741 439772988 659659482 1319318964