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1317263064 = 233132794111
BaseRepresentation
bin100111010000011…
…1101011011011000
310101210122220012220
41032200331123120
510144204404224
6334413304040
744433360045
oct11640753330
93353586186
101317263064
11616619267
12309195020
1317cba0700
14c6d361cc
157a9a0279
hex4e83d6d8

1317263064 has 96 divisors (see below), whose sum is σ = 3611980800. Its totient is φ = 400083840.

The previous prime is 1317263053. The next prime is 1317263099. The reversal of 1317263064 is 4603627131.

1317263064 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 318369 + ... + 322479.

It is an arithmetic number, because the mean of its divisors is an integer number (37624800).

Almost surely, 21317263064 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 1317263064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805990400).

1317263064 is an abundant number, since it is smaller than the sum of its proper divisors (2294717736).

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

1317263064 is a wasteful number, since it uses less digits than its factorization.

1317263064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4225 (or 4208 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 1317263064 is about 36294.1188624273. The cubic root of 1317263064 is about 1096.2026260598.

The spelling of 1317263064 in words is "one billion, three hundred seventeen million, two hundred sixty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 79 104 156 158 169 237 312 316 338 474 507 632 676 948 1014 1027 1352 1896 2028 2054 3081 4056 4108 4111 6162 8216 8222 12324 12333 13351 16444 24648 24666 26702 32888 40053 49332 53404 53443 80106 98664 106808 106886 160212 160329 213772 320424 320658 324769 427544 641316 649538 694759 974307 1282632 1299076 1389518 1948614 2084277 2598152 2779036 3897228 4168554 4221997 5558072 7794456 8337108 8443994 12665991 16674216 16887988 25331982 33775976 50663964 54885961 101327928 109771922 164657883 219543844 329315766 439087688 658631532 1317263064