Search a number
-
+
896905428120 = 233551389173461
BaseRepresentation
bin11010000110100111011…
…10101011110010011000
310011202001212210112200000
431003103232223302120
5104143330242144440
61524011020013000
7121541103231042
oct15032356536230
93152055715600
10896905428120
11316414806179
121259ab991160
13667686119a0
14315a6402a92
15184e5a06730
hexd0d3babc98

896905428120 has 768 divisors, whose sum is σ = 3318223708800. Its totient is φ = 216563466240.

The previous prime is 896905428113. The next prime is 896905428179. The reversal of 896905428120 is 21824509698.

It is a happy number.

896905428120 is a `hidden beast` number, since 8 + 9 + 6 + 90 + 5 + 428 + 120 = 666.

It is a super-2 number, since 2×8969054281202 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1945564690 + ... + 1945565150.

Almost surely, 2896905428120 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 896905428120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659111854400).

896905428120 is an abundant number, since it is smaller than the sum of its proper divisors (2421318280680).

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

896905428120 is a wasteful number, since it uses less digits than its factorization.

896905428120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 896905428120 in words is "eight hundred ninety-six billion, nine hundred five million, four hundred twenty-eight thousand, one hundred twenty".