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13620745728 = 29332342839
BaseRepresentation
bin11001010111101110…
…00001011000000000
31022011020211120112000
430223313001120000
5210343402330403
610131323504000
7661351266642
oct145367013000
938136746460
1013620745728
11585a612957
122781688000
131390b82275
14932d92892
1554abbb7a3
hex32bdc1600

13620745728 has 160 divisors (see below), whose sum is σ = 42072307200. Its totient is φ = 4342745088.

The previous prime is 13620745727. The next prime is 13620745739. The reversal of 13620745728 is 82754702631.

13620745728 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 0 + 74 + 572 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13620745727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296533 + ... + 339371.

It is an arithmetic number, because the mean of its divisors is an integer number (262951920).

Almost surely, 213620745728 is an apocalyptic number.

13620745728 is a gapful number since it is divisible by the number (18) 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 13620745728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21036153600).

13620745728 is an abundant number, since it is smaller than the sum of its proper divisors (28451561472).

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

13620745728 is an equidigital number, since it uses as much as digits as its factorization.

13620745728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42889 (or 42867 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 13620745728 in words is "thirteen billion, six hundred twenty million, seven hundred forty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 256 276 288 368 384 414 432 512 552 576 621 736 768 828 864 1104 1152 1242 1472 1536 1656 1728 2208 2304 2484 2944 3312 3456 4416 4608 4968 5888 6624 6912 8832 9936 11776 13248 13824 17664 19872 26496 35328 39744 42839 52992 79488 85678 105984 128517 158976 171356 257034 317952 342712 385551 514068 685424 771102 985297 1028136 1156653 1370848 1542204 1970594 2056272 2313306 2741696 2955891 3084408 3941188 4112544 4626612 5483392 5911782 6168816 7882376 8225088 8867673 9253224 10966784 11823564 12337632 15764752 16450176 17735346 18506448 21933568 23647128 24675264 26603019 31529504 32900352 35470692 37012896 47294256 49350528 53206038 63059008 65800704 70941384 74025792 94588512 98701056 106412076 126118016 141882768 148051584 189177024 197402112 212824152 252236032 283765536 296103168 378354048 425648304 504472064 567531072 592206336 756708096 851296608 1135062144 1513416192 1702593216 2270124288 3405186432 4540248576 6810372864 13620745728