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13789906328 = 23112314310687
BaseRepresentation
bin11001101011111000…
…10100010110011000
31022121001010211020102
430311330110112120
5211220204000303
610200205314532
7665504161352
oct146574242630
938531124212
1013789906328
115937051800
12280a265a48
1313b9c2c4b3
1494b6280d2
1555a983288
hex335f14598

13789906328 has 96 divisors (see below), whose sum is σ = 30022164480. Its totient is φ = 5924318400.

The previous prime is 13789906321. The next prime is 13789906331. The reversal of 13789906328 is 82360998731.

13789906328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13789906321) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1285001 + ... + 1295687.

It is an arithmetic number, because the mean of its divisors is an integer number (312730880).

Almost surely, 213789906328 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 13789906328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15011082240).

13789906328 is an abundant number, since it is smaller than the sum of its proper divisors (16232258152).

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

13789906328 is a wasteful number, since it uses less digits than its factorization.

13789906328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10789 (or 10774 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 56.

The spelling of 13789906328 in words is "thirteen billion, seven hundred eighty-nine million, nine hundred six thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 22 31 43 44 62 86 88 121 124 172 242 248 341 344 473 484 682 946 968 1333 1364 1892 2666 2728 3751 3784 5203 5332 7502 10406 10664 10687 14663 15004 20812 21374 29326 30008 41624 42748 58652 85496 117304 117557 161293 235114 322586 331297 459541 470228 645172 662594 919082 940456 1290344 1293127 1325188 1838164 2586254 2650376 3644267 3676328 5054951 5172508 7288534 10109902 10345016 14245771 14577068 20219804 28491542 29154136 40086937 40439608 55604461 56983084 80173874 111208922 113966168 156703481 160347748 222417844 313406962 320695496 444835688 626813924 1253627848 1723738291 3447476582 6894953164 13789906328