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16832016234 = 232111743116293
BaseRepresentation
bin11111010110100010…
…00010111101101010
31121110001102000111200
433223101002331222
5233432444004414
611422120305030
71134053530425
oct175321027552
947401360450
1016832016234
117158263a20
123319012176
131783268a27
14b596729bc
15687a94109
hex3eb442f6a

16832016234 has 96 divisors (see below), whose sum is σ = 43105068864. Its totient is φ = 4688893440.

The previous prime is 16832016211. The next prime is 16832016281. The reversal of 16832016234 is 43261023861.

16832016234 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 20 + 1 + 623 + 4 = 666.

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 47 ways as a sum of consecutive naturals, for example, 86592 + ... + 202884.

It is an arithmetic number, because the mean of its divisors is an integer number (449011134).

Almost surely, 216832016234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16832016234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21552534432).

16832016234 is an abundant number, since it is smaller than the sum of its proper divisors (26273052630).

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

16832016234 is a wasteful number, since it uses less digits than its factorization.

16832016234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116372 (or 116369 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 16832016234 in words is "sixteen billion, eight hundred thirty-two million, sixteen thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 43 51 66 86 99 102 129 153 187 198 258 306 374 387 473 561 731 774 946 1122 1419 1462 1683 2193 2838 3366 4257 4386 6579 8041 8514 13158 16082 24123 48246 72369 116293 144738 232586 348879 697758 1046637 1279223 1976981 2093274 2558446 3837669 3953962 5000599 5930943 7675338 10001198 11513007 11861886 15001797 17792829 21746791 23026014 30003594 35585658 43493582 45005391 55006589 65240373 85010183 90010782 110013178 130480746 165019767 170020366 195721119 255030549 330039534 391442238 495059301 510061098 765091647 935112013 990118602 1530183294 1870224026 2805336039 5610672078 8416008117 16832016234