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20446408136 = 23711192836173
BaseRepresentation
bin10011000010101100…
…110110110111001000
31221202221112011002102
4103002230312313020
5313333240030021
613220513252532
71322452413230
oct230254666710
957687464072
1020446408136
118742512070
123b67564148
131c0b01776b
14dbd6cacc0
157ea04a00b
hex4c2b36dc8

20446408136 has 128 divisors (see below), whose sum is σ = 50498380800. Its totient is φ = 7518977280.

The previous prime is 20446408123. The next prime is 20446408139. The reversal of 20446408136 is 63180464402.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 20446408136.

It is not an unprimeable number, because it can be changed into a prime (20446408139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3309146 + ... + 3315318.

It is an arithmetic number, because the mean of its divisors is an integer number (394518600).

Almost surely, 220446408136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20446408136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25249190400).

20446408136 is an abundant number, since it is smaller than the sum of its proper divisors (30051972664).

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

20446408136 is a wasteful number, since it uses less digits than its factorization.

20446408136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6499 (or 6495 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The spelling of 20446408136 in words is "twenty billion, four hundred forty-six million, four hundred eight thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 56 76 77 88 133 152 154 209 266 283 308 418 532 566 616 836 1064 1132 1463 1672 1981 2264 2926 3113 3962 5377 5852 6173 6226 7924 10754 11704 12346 12452 15848 21508 21791 24692 24904 37639 43016 43211 43582 49384 59147 67903 75278 86422 87164 117287 118294 135806 150556 172844 174328 234574 236588 271612 301112 345688 414029 469148 473176 475321 543224 821009 828058 938296 950642 1290157 1642018 1656116 1746959 1901284 2580314 3284036 3312232 3493918 3802568 5160628 6568072 6987836 9031099 10321256 12228713 13975672 18062198 19216549 24457426 33192221 36124396 38433098 48914852 66384442 72248792 76866196 97829704 132768884 134515843 153732392 232345547 265537768 269031686 365114431 464691094 538063372 730228862 929382188 1076126744 1460457724 1858764376 2555801017 2920915448 5111602034 10223204068 20446408136