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13260369504 = 253838531951
BaseRepresentation
bin11000101100110000…
…10010111001100000
31021020010201120021110
430112120102321200
5204124123311004
610031451423320
7646414165254
oct142630227140
937203646243
1013260369504
115695150968
1226a0a54b40
1313343051b5
148db184264
15529233589
hex316612e60

13260369504 has 96 divisors (see below), whose sum is σ = 35287225344. Its totient is φ = 4359513600.

The previous prime is 13260369449. The next prime is 13260369517. The reversal of 13260369504 is 40596306231.

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

It is a super-2 number, since 2×132603695042 (a number of 21 digits) contains 22 as substring.

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, 6795729 + ... + 6797679.

It is an arithmetic number, because the mean of its divisors is an integer number (367575264).

Almost surely, 213260369504 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 13260369504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17643612672).

13260369504 is an abundant number, since it is smaller than the sum of its proper divisors (22026855840).

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

13260369504 is a wasteful number, since it uses less digits than its factorization.

13260369504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2900 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The spelling of 13260369504 in words is "thirteen billion, two hundred sixty million, three hundred sixty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 853 996 1328 1706 1951 1992 2559 2656 3412 3902 3984 5118 5853 6824 7804 7968 10236 11706 13648 15608 20472 23412 27296 31216 40944 46824 62432 70799 81888 93648 141598 161933 187296 212397 283196 323866 424794 485799 566392 647732 849588 971598 1132784 1295464 1664203 1699176 1943196 2265568 2590928 3328406 3398352 3886392 4992609 5181856 6656812 6796704 7772784 9985218 13313624 15545568 19970436 26627248 39940872 53254496 79881744 138128849 159763488 276257698 414386547 552515396 828773094 1105030792 1657546188 2210061584 3315092376 4420123168 6630184752 13260369504