Search a number
-
+
8969425920 = 2103357132331
BaseRepresentation
bin10000101101001111…
…01001010000000000
3212011002120001021000
420112213221100000
5121332133112140
64042005532000
7435161601540
oct102647512000
925132501230
108969425920
1138930094a4
1218a3a14000
13acc336c20
14611337320
1537768ca30
hex2169e9400

8969425920 has 1408 divisors, whose sum is σ = 42257940480. Its totient is φ = 1751777280.

The previous prime is 8969425901. The next prime is 8969425937. The reversal of 8969425920 is 295249698.

It is a happy number.

8969425920 is a `hidden beast` number, since 8 + 9 + 6 + 9 + 42 + 592 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 127 ways as a sum of consecutive naturals, for example, 289336305 + ... + 289336335.

Almost surely, 28969425920 is an apocalyptic number.

8969425920 is a gapful number since it is divisible by the number (80) 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 8969425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21128970240).

8969425920 is an abundant number, since it is smaller than the sum of its proper divisors (33288514560).

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

8969425920 is a wasteful number, since it uses less digits than its factorization.

8969425920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 8969425920 is about 94707.0531692334. The cubic root of 8969425920 is about 2077.7257193266.

The spelling of 8969425920 in words is "eight billion, nine hundred sixty-nine million, four hundred twenty-five thousand, nine hundred twenty".