Search a number
-
+
95550482227200 = 213352711132171937
BaseRepresentation
bin10101101110011100010100…
…100011010010000000000000
3110112022112111101121222002120
4111232130110203102000000
5100010444341422232300
6535115141402444240
726061203011124430
oct2556342443220000
9415275441558076
1095550482227200
1128499806248640
12a8723a7203680
1341414aab40b00
14198494d06a2c0
15b0a749a7d3a0
hex56e7148d2000

95550482227200 has 8064 divisors, whose sum is σ = 488228959918080. Its totient is φ = 15899767603200.

The previous prime is 95550482227157. The next prime is 95550482227241. The reversal of 95550482227200 is 272228405559.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2582445465582 + ... + 2582445465618.

Almost surely, 295550482227200 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 95550482227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244114479959040).

95550482227200 is an abundant number, since it is smaller than the sum of its proper divisors (392678477690880).

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

95550482227200 is a wasteful number, since it uses less digits than its factorization.

95550482227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 51.

The spelling of 95550482227200 in words is "ninety-five trillion, five hundred fifty billion, four hundred eighty-two million, two hundred twenty-seven thousand, two hundred".