Search a number
-
+
88205394768 = 24310329096133
BaseRepresentation
bin101001000100101110…
…0111000001101010000
322102200012000022112220
41102021130320031100
52421121040113033
6104304311421040
76241545325221
oct1221134701520
9272605008486
1088205394768
1134453711677
1215117984780
1384190a08aa
1443aa82b248
152463a3bbb3
hex1489738350

88205394768 has 80 divisors (see below), whose sum is σ = 230192826240. Its totient is φ = 29101588992.

The previous prime is 88205394721. The next prime is 88205394787. The reversal of 88205394768 is 86749350288.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14379030 + ... + 14385162.

It is an arithmetic number, because the mean of its divisors is an integer number (2877410328).

Almost surely, 288205394768 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 88205394768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115096413120).

88205394768 is an abundant number, since it is smaller than the sum of its proper divisors (141987431472).

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

88205394768 is a wasteful number, since it uses less digits than its factorization.

88205394768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9156 (or 9150 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 88205394768 in words is "eighty-eight billion, two hundred five million, three hundred ninety-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 309 412 618 824 1236 1648 2472 2909 4944 5818 6133 8727 11636 12266 17454 18399 23272 24532 34908 36798 46544 49064 69816 73596 98128 139632 147192 294384 299627 599254 631699 898881 1198508 1263398 1797762 1895097 2397016 2526796 3595524 3790194 4794032 5053592 7191048 7580388 10107184 14382096 15160776 17840897 30321552 35681794 53522691 71363588 107045382 142727176 214090764 285454352 428181528 856363056 1837612391 3675224782 5512837173 7350449564 11025674346 14700899128 22051348692 29401798256 44102697384 88205394768