Search a number
-
+
128494686720 = 29357123319
BaseRepresentation
bin111011110101011100…
…0010101001000000000
3110021200000102102000010
41313222320111020000
54101124114433340
6135010223024520
712166134546621
oct1675270251000
9407600372003
10128494686720
114a54899aa74
1220aa073b140
13c16a07200a
14630d5c1a48
153520b19b80
hex1deae15200

128494686720 has 240 divisors, whose sum is σ = 416774128320. Its totient is φ = 33772462080.

The previous prime is 128494686637. The next prime is 128494686739. The reversal of 128494686720 is 27686494821.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38713221 + ... + 38716539.

It is an arithmetic number, because the mean of its divisors is an integer number (1736558868).

Almost surely, 2128494686720 is an apocalyptic number.

128494686720 is a gapful number since it is divisible by the number (10) 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 128494686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208387064160).

128494686720 is an abundant number, since it is smaller than the sum of its proper divisors (288279441600).

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

128494686720 is an frugal number, since it uses more digits than its factorization.

128494686720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3487 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 128494686720 in words is "one hundred twenty-eight billion, four hundred ninety-four million, six hundred eighty-six thousand, seven hundred twenty".