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20416765068 = 2234714096389
BaseRepresentation
bin10011000000111011…
…110001110010001100
31221200212202010110000
4103000323301302030
5313303142440233
613213534044300
71321642432260
oct230073616214
957625663400
1020416765068
118727805867
123b59649690
131c04b3909b
14db97b20a0
157e7641d13
hex4c0ef1c8c

20416765068 has 120 divisors (see below), whose sum is σ = 61051082400. Its totient is φ = 5828308992.

The previous prime is 20416765037. The next prime is 20416765091. The reversal of 20416765068 is 86056761402.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3192418 + ... + 3198806.

It is an arithmetic number, because the mean of its divisors is an integer number (508759020).

Almost surely, 220416765068 is an apocalyptic number.

20416765068 is a gapful number since it is divisible by the number (28) 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 20416765068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30525541200).

20416765068 is an abundant number, since it is smaller than the sum of its proper divisors (40634317332).

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

20416765068 is a wasteful number, since it uses less digits than its factorization.

20416765068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7821 (or 7810 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 20416765068 in words is "twenty billion, four hundred sixteen million, seven hundred sixty-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 1409 2268 2818 4227 5636 6389 8454 9863 12681 12778 16908 19167 19726 25362 25556 29589 38043 38334 39452 44723 50724 57501 59178 76086 76668 88767 89446 114129 115002 118356 134169 152172 172503 177534 178892 228258 230004 266301 268338 345006 355068 402507 456516 517509 532602 536676 690012 798903 805014 1035018 1065204 1207521 1597806 1610028 2070036 2415042 3195612 3622563 4830084 7245126 9002101 14490252 18004202 27006303 36008404 54012606 63014707 81018909 108025212 126029414 162037818 189044121 243056727 252058828 324075636 378088242 486113454 567132363 729170181 756176484 972226908 1134264726 1458340362 1701397089 2268529452 2916680724 3402794178 5104191267 6805588356 10208382534 20416765068