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13834354512 = 24311130720047
BaseRepresentation
bin11001110001001011…
…10111111101010000
31022201010210000200110
430320211313331100
5211313043321022
610204434121320
7666554034036
oct147045677520
938633700613
1013834354512
11595a150340
122821120240
1313c61c28b4
149534b8556
1555e81300c
hex338977f50

13834354512 has 80 divisors (see below), whose sum is σ = 39019502592. Its totient is φ = 4188812160.

The previous prime is 13834354493. The next prime is 13834354553. The reversal of 13834354512 is 21545343831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 680073 + ... + 700119.

Almost surely, 213834354512 is an apocalyptic number.

13834354512 is a gapful number since it is divisible by the number (12) 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 13834354512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19509751296).

13834354512 is an abundant number, since it is smaller than the sum of its proper divisors (25185148080).

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

13834354512 is a wasteful number, since it uses less digits than its factorization.

13834354512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21376 (or 21370 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The spelling of 13834354512 in words is "thirteen billion, eight hundred thirty-four million, three hundred fifty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1307 2614 3921 5228 7842 10456 14377 15684 20047 20912 28754 31368 40094 43131 57508 60141 62736 80188 86262 115016 120282 160376 172524 220517 230032 240564 320752 345048 441034 481128 661551 690096 882068 962256 1323102 1764136 2646204 3528272 5292408 10584816 26201429 52402858 78604287 104805716 157208574 209611432 288215719 314417148 419222864 576431438 628834296 864647157 1152862876 1257668592 1729294314 2305725752 3458588628 4611451504 6917177256 13834354512