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13799325904 = 2472132104149
BaseRepresentation
bin11001101101000000…
…10000000011010000
31022121200212101110121
430312200100003100
5211230111412104
610201143240024
7665650222600
oct146640200320
938550771417
1013799325904
1159413a5881
122811449014
1313bbb79b00
1494c99ac00
1555b6e4254
hex3368100d0

13799325904 has 90 divisors (see below), whose sum is σ = 33678048150. Its totient is φ = 5459021568.

The previous prime is 13799325863. The next prime is 13799325919. The reversal of 13799325904 is 40952399731.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 678081600 + 13121244304 = 26040^2 + 114548^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 80422 + ... + 184570.

It is an arithmetic number, because the mean of its divisors is an integer number (374200535).

Almost surely, 213799325904 is an apocalyptic number.

13799325904 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 13799325904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16839024075).

13799325904 is an abundant number, since it is smaller than the sum of its proper divisors (19878722246).

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

13799325904 is a wasteful number, since it uses less digits than its factorization.

13799325904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104197 (or 104171 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 52.

The spelling of 13799325904 in words is "thirteen billion, seven hundred ninety-nine million, three hundred twenty-five thousand, nine hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 169 182 196 208 338 364 392 637 676 728 784 1183 1274 1352 1456 2366 2548 2704 4732 5096 8281 9464 10192 16562 18928 33124 66248 104149 132496 208298 416596 729043 833192 1353937 1458086 1666384 2707874 2916172 5103301 5415748 5832344 9477559 10206602 10831496 11664688 17601181 18955118 20413204 21662992 35202362 37910236 40826408 66342913 70404724 75820472 81652816 123208267 132685826 140809448 151640944 246416534 265371652 281618896 492833068 530743304 862457869 985666136 1061486608 1724915738 1971332272 3449831476 6899662952 13799325904