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13108621824 = 29336714153
BaseRepresentation
bin11000011010101010…
…11011001000000000
31020211120011222121000
430031111123020000
5203321301344244
610004431132000
7642562306224
oct141525331000
936746158530
1013108621824
115617525661
12265a074000
13130ba4397c
148c4d62784
1551ac5b169
hex30d55b200

13108621824 has 160 divisors (see below), whose sum is σ = 39384354240. Its totient is φ = 4304019456.

The previous prime is 13108621793. The next prime is 13108621831. The reversal of 13108621824 is 42812680131.

13108621824 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 8 + 621 + 8 + 24 = 666.

It is a super-2 number, since 2×131086218242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 919132 + ... + 933284.

It is an arithmetic number, because the mean of its divisors is an integer number (246152214).

Almost surely, 213108621824 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 13108621824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19692177120).

13108621824 is an abundant number, since it is smaller than the sum of its proper divisors (26275732416).

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

13108621824 is an equidigital number, since it uses as much as digits as its factorization.

13108621824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14247 (or 14225 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 13108621824 in words is "thirteen billion, one hundred eight million, six hundred twenty-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 96 108 128 134 144 192 201 216 256 268 288 384 402 432 512 536 576 603 768 804 864 1072 1152 1206 1536 1608 1728 1809 2144 2304 2412 3216 3456 3618 4288 4608 4824 6432 6912 7236 8576 9648 12864 13824 14153 14472 17152 19296 25728 28306 28944 34304 38592 42459 51456 56612 57888 77184 84918 102912 113224 115776 127377 154368 169836 226448 231552 254754 308736 339672 382131 452896 463104 509508 679344 764262 905792 926208 948251 1019016 1358688 1528524 1811584 1896502 2038032 2717376 2844753 3057048 3623168 3793004 4076064 5434752 5689506 6114096 7246336 7586008 8152128 8534259 10869504 11379012 12228192 15172016 16304256 17068518 21739008 22758024 24456384 25602777 30344032 32608512 34137036 45516048 48912768 51205554 60688064 65217024 68274072 91032096 97825536 102411108 121376128 136548144 182064192 195651072 204822216 242752256 273096288 364128384 409644432 485504512 546192576 728256768 819288864 1092385152 1456513536 1638577728 2184770304 3277155456 4369540608 6554310912 13108621824