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1316193504 = 25373293641
BaseRepresentation
bin100111001110011…
…1000010011100000
310101201122120001120
41032130320103200
510143421143004
6334334332240
744421313563
oct11634702340
93351576046
101316193504
11615a5872a
1230895a080
1317c8b7932
14c6b384da
157a83d3d9
hex4e7384e0

1316193504 has 96 divisors (see below), whose sum is σ = 3519772704. Its totient is φ = 430571520.

The previous prime is 1316193481. The next prime is 1316193511. The reversal of 1316193504 is 4053916131.

It is a tau number, because it is divible by the number of its divisors (96).

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, 2053024 + ... + 2053664.

It is an arithmetic number, because the mean of its divisors is an integer number (36664299).

Almost surely, 21316193504 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 1316193504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759886352).

1316193504 is an abundant number, since it is smaller than the sum of its proper divisors (2203579200).

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

1316193504 is a wasteful number, since it uses less digits than its factorization.

1316193504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 1316193504 is about 36279.3812516145. The cubic root of 1316193504 is about 1095.9058561933.

The spelling of 1316193504 in words is "one billion, three hundred sixteen million, one hundred ninety-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 293 438 584 586 641 876 879 1168 1172 1282 1752 1758 1923 2336 2344 2564 3504 3516 3846 4688 5128 7008 7032 7692 9376 10256 14064 15384 20512 21389 28128 30768 42778 46793 61536 64167 85556 93586 128334 140379 171112 187172 187813 256668 280758 342224 374344 375626 513336 561516 563439 684448 748688 751252 1026672 1123032 1126878 1497376 1502504 2053344 2246064 2253756 3005008 4492128 4507512 6010016 9015024 13710349 18030048 27420698 41131047 54841396 82262094 109682792 164524188 219365584 329048376 438731168 658096752 1316193504