Search a number
-
+
128116298124 = 223237307313301
BaseRepresentation
bin111011101010001010…
…0111001000110001100
3110020200122102021102200
41313110110321012030
54044340233014444
6134504504521500
712153561365103
oct1672424710614
9406618367380
10128116298124
114a374346021
12209b5a80290
13c109859439
1462b524503a
1534ec7c4969
hex1dd453918c

128116298124 has 72 divisors (see below), whose sum is σ = 333686681328. Its totient is φ = 41415753600.

The previous prime is 128116298047. The next prime is 128116298129. The reversal of 128116298124 is 421892611821.

128116298124 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 1 + 629 + 8 + 12 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 128116298124.

It is not an unprimeable number, because it can be changed into a prime (128116298129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252274 + ... + 565574.

Almost surely, 2128116298124 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 128116298124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166843340664).

128116298124 is an abundant number, since it is smaller than the sum of its proper divisors (205570383204).

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

128116298124 is a wasteful number, since it uses less digits than its factorization.

128116298124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313655 (or 313650 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The spelling of 128116298124 in words is "one hundred twenty-eight billion, one hundred sixteen million, two hundred ninety-eight thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 307 333 444 614 666 921 1228 1332 1842 2763 3684 5526 11052 11359 22718 34077 45436 68154 102231 136308 204462 313301 408924 626602 939903 1253204 1879806 2819709 3759612 5639418 11278836 11592137 23184274 34776411 46368548 69552822 96183407 104329233 139105644 192366814 208658466 288550221 384733628 417316932 577100442 865650663 1154200884 1731301326 3462602652 3558786059 7117572118 10676358177 14235144236 21352716354 32029074531 42705432708 64058149062 128116298124