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1356315968 = 26731611601
BaseRepresentation
bin101000011010111…
…1011110101000000
310111112010222201202
41100311323311000
510234204102333
6342330320332
745416331650
oct12065736500
93445128652
101356315968
11636672297
1231a2890a8
13187cc5137
14cc1c0360
157e1165e8
hex50d7bd40

1356315968 has 112 divisors (see below), whose sum is σ = 3229221888. Its totient is φ = 552960000.

The previous prime is 1356315959. The next prime is 1356315979. The reversal of 1356315968 is 8695136531.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 846368 + ... + 847968.

Almost surely, 21356315968 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 1356315968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614610944).

1356315968 is an abundant number, since it is smaller than the sum of its proper divisors (1872905920).

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

1356315968 is a wasteful number, since it uses less digits than its factorization.

1356315968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1702 counting only the distinct ones).

The product of its digits is 583200, while the sum is 47.

The square root of 1356315968 is about 36828.1952856775. The cubic root of 1356315968 is about 1106.9303408752.

The spelling of 1356315968 in words is "one billion, three hundred fifty-six million, three hundred fifteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 61 62 64 112 122 124 217 224 244 248 427 434 448 488 496 854 868 976 992 1601 1708 1736 1891 1952 1984 3202 3416 3472 3782 3904 6404 6832 6944 7564 11207 12808 13237 13664 13888 15128 22414 25616 26474 27328 30256 44828 49631 51232 52948 60512 89656 97661 99262 102464 105896 121024 179312 195322 198524 211792 347417 358624 390644 397048 423584 683627 694834 717248 781288 794096 847168 1367254 1389668 1562576 1588192 2734508 2779336 3027491 3125152 3176384 5469016 5558672 6054982 6250304 10938032 11117344 12109964 21192437 21876064 22234688 24219928 42384874 43752128 48439856 84769748 96879712 169539496 193759424 339078992 678157984 1356315968