Search a number
-
+
128552365764 = 2234199192
BaseRepresentation
bin111011110111001010…
…0010110111011000100
3110021211000221210210000
41313232110112323010
54101233401201024
6135020043201300
712200435036244
oct1675624267304
9407730853700
10128552365764
114a5785060a9
1220ab7b16230
13c178cb8724
146317117b24
153525c0ecc9
hex1dee516ec4

128552365764 has 45 divisors (see below), whose sum is σ = 336078149407. Its totient is φ = 42848637336.

The previous prime is 128552365759. The next prime is 128552365789. The reversal of 128552365764 is 467563255821.

The square root of 128552365764 is 358542.

It is a perfect power (a square), and thus also a powerful number.

128552365764 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 523 + 6 + 57 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 128552365764.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6443797 + ... + 6463715.

Almost surely, 2128552365764 is an apocalyptic number.

128552365764 is the 358542-nd square number.

It is an amenable number.

128552365764 is an abundant number, since it is smaller than the sum of its proper divisors (207525783643).

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

128552365764 is an frugal number, since it uses more digits than its factorization.

128552365764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39854 (or 19924 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The spelling of 128552365764 in words is "one hundred twenty-eight billion, five hundred fifty-two million, three hundred sixty-five thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 19919 39838 59757 79676 119514 179271 239028 358542 537813 717084 1075626 1613439 2151252 3226878 6453756 396766561 793533122 1190299683 1587066244 2380599366 3570899049 4761198732 7141798098 10712697147 14283596196 21425394294 32138091441 42850788588 64276182882 128552365764