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13067469504 = 263423109597
BaseRepresentation
bin11000010101110000…
…11100001011000000
31020201200202020020000
430022320130023000
5203230233011004
610000401120000
7641552441505
oct141270341300
936650666200
1013067469504
1155a6278281
122648329000
13130336579b
148bd6cd4ac
1551732cc39
hex30ae1c2c0

13067469504 has 140 divisors (see below), whose sum is σ = 40420619184. Its totient is φ = 4166401536.

The previous prime is 13067469491. The next prime is 13067469533. The reversal of 13067469504 is 40596476031.

13067469504 is a `hidden beast` number, since 13 + 0 + 6 + 74 + 69 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13067469504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64434 + ... + 174030.

Almost surely, 213067469504 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 13067469504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20210309592).

13067469504 is an abundant number, since it is smaller than the sum of its proper divisors (27353149680).

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

13067469504 is a wasteful number, since it uses less digits than its factorization.

13067469504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109644 (or 109625 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 13067469504 in words is "thirteen billion, sixty-seven million, four hundred sixty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 138 144 162 184 192 207 216 276 288 324 368 414 432 552 576 621 648 736 828 864 1104 1242 1296 1472 1656 1728 1863 2208 2484 2592 3312 3726 4416 4968 5184 6624 7452 9936 13248 14904 19872 29808 39744 59616 109597 119232 219194 328791 438388 657582 876776 986373 1315164 1753552 1972746 2520731 2630328 2959119 3507104 3945492 5041462 5260656 5918238 7014208 7562193 7890984 8877357 10082924 10521312 11836476 15124386 15781968 17754714 20165848 21042624 22686579 23672952 30248772 31563936 35509428 40331696 45373158 47345904 60497544 63127872 68059737 71018856 80663392 90746316 94691808 120995088 136119474 142037712 161326784 181492632 189383616 204179211 241990176 272238948 284075424 362985264 408358422 483980352 544477896 568150848 725970528 816716844 1088955792 1451941056 1633433688 2177911584 3266867376 4355823168 6533734752 13067469504