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13290258870 = 2345715312
BaseRepresentation
bin11000110000010100…
…10100000110110110
31021022012222002210000
430120022110012312
5204204301240440
610034440212130
7650226223260
oct143012240666
937265862700
1013290258870
115700006219
1226aaa6a046
13133a56ba05
14901124b30
1552bb89730
hex3182941b6

13290258870 has 120 divisors (see below), whose sum is σ = 40867870032. Its totient is φ = 3035789280.

The previous prime is 13290258857. The next prime is 13290258887. The reversal of 13290258870 is 7885209231.

It is a happy number.

13290258870 is a `hidden beast` number, since 1 + 329 + 0 + 258 + 8 + 70 = 666.

It is a super-2 number, since 2×132902588702 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8680005 + ... + 8681535.

Almost surely, 213290258870 is an apocalyptic number.

13290258870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13290258870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20433935016).

13290258870 is an abundant number, since it is smaller than the sum of its proper divisors (27577611162).

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

13290258870 is an frugal number, since it uses more digits than its factorization.

13290258870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3088 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 13290258870 in words is "thirteen billion, two hundred ninety million, two hundred fifty-eight thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 945 1134 1531 1890 2835 3062 4593 5670 7655 9186 10717 13779 15310 21434 22965 27558 32151 41337 45930 53585 64302 68895 82674 96453 107170 124011 137790 160755 192906 206685 248022 289359 321510 413370 482265 578718 620055 868077 964530 1240110 1446795 1736154 2343961 2893590 4340385 4687922 7031883 8680770 11719805 14063766 16407727 21095649 23439610 32815454 35159415 42191298 49223181 63286947 70318830 82038635 98446362 105478245 126573894 147669543 164077270 189860841 210956490 246115905 295339086 316434735 379721682 443008629 492231810 632869470 738347715 886017258 949304205 1329025887 1476695430 1898608410 2215043145 2658051774 4430086290 6645129435 13290258870