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1317428064 = 25341094663
BaseRepresentation
bin100111010000110…
…0101101101100000
310101210222021120000
41032201211231200
510144230144224
6334421020000
744434645101
oct11641455540
93353867500
101317428064
11616721227
12309254600
1317cc2a844
14c6d7a3a8
157a9d40c9
hex4e865b60

1317428064 has 120 divisors (see below), whose sum is σ = 3910903920. Its totient is φ = 435020544.

The previous prime is 1317428029. The next prime is 1317428081. The reversal of 1317428064 is 4608247131.

1317428064 is a `hidden beast` number, since 1 + 317 + 4 + 280 + 64 = 666.

It is a super-3 number, since 3×13174280643 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 280197 + ... + 284859.

It is an arithmetic number, because the mean of its divisors is an integer number (32590866).

Almost surely, 21317428064 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 1317428064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955451960).

1317428064 is an abundant number, since it is smaller than the sum of its proper divisors (2593475856).

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

1317428064 is a wasteful number, since it uses less digits than its factorization.

1317428064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4794 (or 4777 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1317428064 is about 36296.3918867978. The cubic root of 1317428064 is about 1096.2483941595.

The spelling of 1317428064 in words is "one billion, three hundred seventeen million, four hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 109 144 162 216 218 288 324 327 432 436 648 654 864 872 981 1296 1308 1744 1962 2592 2616 2943 3488 3924 4663 5232 5886 7848 8829 9326 10464 11772 13989 15696 17658 18652 23544 27978 31392 35316 37304 41967 47088 55956 70632 74608 83934 94176 111912 125901 141264 149216 167868 223824 251802 282528 335736 377703 447648 503604 508267 671472 755406 1007208 1016534 1342944 1510812 1524801 2014416 2033068 3021624 3049602 4028832 4066136 4574403 6043248 6099204 8132272 9148806 12086496 12198408 13723209 16264544 18297612 24396816 27446418 36595224 41169627 48793632 54892836 73190448 82339254 109785672 146380896 164678508 219571344 329357016 439142688 658714032 1317428064