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13083699456 = 283223832
BaseRepresentation
bin11000010111101100…
…10110100100000000
31020202211021210112100
430023312112210000
5203243411340311
610002141030400
7642140416242
oct141366264400
936684253470
1013083699456
115604453063
122651855400
131306828bc9
148c1916092
15518986a56
hex30bd96900

13083699456 has 81 divisors (see below), whose sum is σ = 37739367939. Its totient is φ = 4359403008.

The previous prime is 13083699371. The next prime is 13083699457. The reversal of 13083699456 is 65499638031.

The square root of 13083699456 is 114384.

It is a perfect power (a square), and thus also a powerful number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13083699457) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5489241 + ... + 5491623.

Almost surely, 213083699456 is an apocalyptic number.

13083699456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13083699456 is the 114384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13083699456

13083699456 is an abundant number, since it is smaller than the sum of its proper divisors (24655668483).

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

13083699456 is an frugal number, since it uses more digits than its factorization.

13083699456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4788 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 13083699456 in words is "thirteen billion, eighty-three million, six hundred ninety-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 2383 4766 7149 9532 14298 19064 21447 28596 38128 42894 57192 76256 85788 114384 152512 171576 228768 305024 343152 457536 610048 686304 915072 1372608 1830144 2745216 5490432 5678689 11357378 17036067 22714756 34072134 45429512 51108201 68144268 90859024 102216402 136288536 181718048 204432804 272577072 363436096 408865608 545154144 726872192 817731216 1090308288 1453744384 1635462432 2180616576 3270924864 4361233152 6541849728 13083699456