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16022132046 = 2334325492707
BaseRepresentation
bin11101110101111111…
…00101010101001110
31112100121110122021000
432322333211111032
5230303131211141
611205505521130
71105020606144
oct167277452516
945317418230
1016022132046
116882091a48
1231319431a6
131684534c0b
14abdc93594
1563b9185b6
hex3bafe554e

16022132046 has 64 divisors (see below), whose sum is σ = 36460512000. Its totient is φ = 5212535328.

The previous prime is 16022132041. The next prime is 16022132117. The reversal of 16022132046 is 64023122061.

16022132046 is a `hidden beast` number, since 1 + 602 + 2 + 13 + 2 + 0 + 46 = 666.

It is a super-2 number, since 2×160221320462 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16022132041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5917425 + ... + 5920131.

It is an arithmetic number, because the mean of its divisors is an integer number (569695500).

Almost surely, 216022132046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16022132046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18230256000).

16022132046 is an abundant number, since it is smaller than the sum of its proper divisors (20438379954).

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

16022132046 is a wasteful number, since it uses less digits than its factorization.

16022132046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5310 (or 5304 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 16022132046 in words is "sixteen billion, twenty-two million, one hundred thirty-two thousand, forty-six".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 387 774 1161 2322 2549 2707 5098 5414 7647 8121 15294 16242 22941 24363 45882 48726 68823 73089 109607 116401 137646 146178 219214 232802 328821 349203 657642 698406 986463 1047609 1972926 2095218 2959389 3142827 5918778 6285654 6900143 13800286 20700429 41400858 62101287 124202574 186303861 296706149 372607722 593412298 890118447 1780236894 2670355341 5340710682 8011066023 16022132046