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20326446126 = 23371915118743
BaseRepresentation
bin10010111011100011…
…001111010000101110
31221110120210110011000
4102323203033100232
5313112032234001
613200550141130
71316464640610
oct227343172056
957416713130
1020326446126
118690826908
123b333517a6
131bbc204c1c
14dab7c0db0
157de750a86
hex4bb8cf42e

20326446126 has 128 divisors (see below), whose sum is σ = 54702489600. Its totient is φ = 5465167200.

The previous prime is 20326446097. The next prime is 20326446137. The reversal of 20326446126 is 62164462302.

20326446126 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 644 + 6 + 1 + 2 + 6 = 666.

It is a super-2 number, since 2×203264461262 (a number of 21 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 1075111 + ... + 1093853.

It is an arithmetic number, because the mean of its divisors is an integer number (427363200).

Almost surely, 220326446126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20326446126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27351244800).

20326446126 is an abundant number, since it is smaller than the sum of its proper divisors (34376043474).

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

20326446126 is a wasteful number, since it uses less digits than its factorization.

20326446126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18931 (or 18925 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 20326446126 in words is "twenty billion, three hundred twenty-six million, four hundred forty-six thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 151 171 189 266 302 342 378 399 453 513 798 906 1026 1057 1197 1359 2114 2394 2718 2869 3171 3591 4077 5738 6342 7182 8154 8607 9513 17214 18743 19026 20083 25821 28539 37486 40166 51642 56229 57078 60249 77463 112458 120498 131201 154926 168687 180747 262402 337374 356117 361494 393603 506061 542241 712234 787206 1012122 1068351 1084482 1180809 2136702 2361618 2492819 2830193 3205053 3542427 4985638 5660386 6410106 7084854 7478457 8490579 9615159 14956914 16981158 19230318 19811351 22435371 25471737 39622702 44870742 50943474 53773667 59434053 67306113 76415211 107547334 118868106 134612226 152830422 161321001 178302159 322642002 356604318 376415669 483963003 534906477 752831338 967926006 1069812954 1129247007 1451889009 2258494014 2903778018 3387741021 6775482042 10163223063 20326446126