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13465484424 = 23327122921739
BaseRepresentation
bin11001000101001101…
…01111110010001000
31021202102200111001100
430202212233302020
5210034131000144
610104100021400
7654454505040
oct144246576210
937672614040
1013465484424
11578aa07827
122739691860
131367960682
1491a4d8720
1553c24d269
hex3229afc88

13465484424 has 96 divisors (see below), whose sum is σ = 41714712000. Its totient is φ = 3843974016.

The previous prime is 13465484387. The next prime is 13465484453. The reversal of 13465484424 is 42448456431.

It is a happy number.

13465484424 is a `hidden beast` number, since 1 + 3 + 46 + 548 + 44 + 24 = 666.

It is a super-2 number, since 2×134654844242 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13465484424.

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, 608547 + ... + 630285.

It is an arithmetic number, because the mean of its divisors is an integer number (434528250).

Almost surely, 213465484424 is an apocalyptic number.

13465484424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13465484424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20857356000).

13465484424 is an abundant number, since it is smaller than the sum of its proper divisors (28249227576).

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

13465484424 is a wasteful number, since it uses less digits than its factorization.

13465484424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22987 (or 22980 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 45.

The spelling of 13465484424 in words is "thirteen billion, four hundred sixty-five million, four hundred eighty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1229 2458 3687 4916 7374 8603 9832 11061 14748 17206 21739 22122 25809 29496 34412 43478 44244 51618 65217 68824 77427 86956 88488 103236 130434 152173 154854 173912 195651 206472 260868 304346 309708 391302 456519 521736 608692 619416 782604 913038 1217384 1369557 1565208 1826076 2739114 3652152 5478228 10956456 26717231 53434462 80151693 106868924 160303386 187020617 213737848 240455079 320606772 374041234 480910158 561061851 641213544 748082468 961820316 1122123702 1496164936 1683185553 1923640632 2244247404 3366371106 4488494808 6732742212 13465484424