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14796149904 = 2433223153589
BaseRepresentation
bin11011100011110101…
…10101010010010000
31102012011120021221000
431301322311102100
5220300303244104
610444112502000
71032443125164
oct156172652220
942164507830
1014796149904
11630304a468
122a4b24a900
13151a5444b3
14a0511cca4
155b8e99639
hex371eb5490

14796149904 has 80 divisors (see below), whose sum is σ = 42661158400. Its totient is φ = 4909901184.

The previous prime is 14796149861. The next prime is 14796149911. The reversal of 14796149904 is 40994169741.

14796149904 is a `hidden beast` number, since 14 + 7 + 9 + 614 + 9 + 9 + 0 + 4 = 666.

14796149904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19542 + ... + 173130.

It is an arithmetic number, because the mean of its divisors is an integer number (533264480).

Almost surely, 214796149904 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 14796149904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21330579200).

14796149904 is an abundant number, since it is smaller than the sum of its proper divisors (27865008496).

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

14796149904 is a wasteful number, since it uses less digits than its factorization.

14796149904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153829 (or 153817 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 14796149904 in words is "fourteen billion, seven hundred ninety-six million, one hundred forty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 223 432 446 669 892 1338 1784 2007 2676 3568 4014 5352 6021 8028 10704 12042 16056 24084 32112 48168 96336 153589 307178 460767 614356 921534 1228712 1382301 1843068 2457424 2764602 3686136 4146903 5529204 7372272 8293806 11058408 16587612 22116816 33175224 34250347 66350448 68500694 102751041 137001388 205502082 274002776 308253123 411004164 548005552 616506246 822008328 924759369 1233012492 1644016656 1849518738 2466024984 3699037476 4932049968 7398074952 14796149904