Search a number
-
+
128402453257920 = 2637517192324697
BaseRepresentation
bin11101001100100000000110…
…100111010101111011000000
3121211122011011201222020000000
4131030200012213111323000
5113312221211013223140
61133031134523000000
736021525330355032
oct3514400647257300
9554564151866000
10128402453257920
1137a051a1467826
1212499309969000
1356853b79a406a
14239c9d7635c52
15eca09855aa30
hex74c8069d5ec0

128402453257920 has 1792 divisors, whose sum is σ = 533340229939200. Its totient is φ = 29201776902144.

The previous prime is 128402453257867. The next prime is 128402453257927. The reversal of 128402453257920 is 29752354204821.

It is a happy number.

128402453257920 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 0 + 2 + 45 + 3 + 2 + 579 + 20 = 666.

It is a super-3 number, since 3×1284024532579203 (a number of 43 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (128402453257927) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5199099012 + ... + 5199123708.

Almost surely, 2128402453257920 is an apocalyptic number.

128402453257920 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 128402453257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266670114969600).

128402453257920 is an abundant number, since it is smaller than the sum of its proper divisors (404937776681280).

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

128402453257920 is a wasteful number, since it uses less digits than its factorization.

128402453257920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24794 (or 24766 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 128402453257920 in words is "one hundred twenty-eight trillion, four hundred two billion, four hundred fifty-three million, two hundred fifty-seven thousand, nine hundred twenty".