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14934695112 = 233437960811
BaseRepresentation
bin11011110100010110…
…10101110011001000
31102112211021010020000
431322023111303020
5221041240220422
610505542203000
71036044546111
oct157213256310
942484233200
1014934695112
116374278537
122a89723460
1315401625cc
14a196a5208
155c6214cac
hex37a2d5cc8

14934695112 has 80 divisors (see below), whose sum is σ = 41942036400. Its totient is φ = 4965014880.

The previous prime is 14934695093. The next prime is 14934695117. The reversal of 14934695112 is 21159643941.

14934695112 is a `hidden beast` number, since 1 + 4 + 93 + 46 + 9 + 511 + 2 = 666.

It is a super-3 number, since 3×149346951123 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (14934695117) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 215187 + ... + 275997.

It is an arithmetic number, because the mean of its divisors is an integer number (524275455).

Almost surely, 214934695112 is an apocalyptic number.

14934695112 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 14934695112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20971018200).

14934695112 is an abundant number, since it is smaller than the sum of its proper divisors (27007341288).

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

14934695112 is a wasteful number, since it uses less digits than its factorization.

14934695112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61208 (or 61195 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 14934695112 in words is "fourteen billion, nine hundred thirty-four million, six hundred ninety-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 379 648 758 1137 1516 2274 3032 3411 4548 6822 9096 10233 13644 20466 27288 30699 40932 60811 61398 81864 121622 122796 182433 243244 245592 364866 486488 547299 729732 1094598 1459464 1641897 2189196 3283794 4378392 4925691 6567588 9851382 13135176 19702764 23047369 39405528 46094738 69142107 92189476 138284214 184378952 207426321 276568428 414852642 553136856 622278963 829705284 1244557926 1659410568 1866836889 2489115852 3733673778 4978231704 7467347556 14934695112