Search a number
-
+
10431654912 = 2103271011601
BaseRepresentation
bin10011011011100011…
…00110110000000000
3222220222222222100100
421231301212300000
5132331000424122
64443042322400
7516335414040
oct115561466000
928828888310
1010431654912
114473440808
122031659400
13ca3263093
1470d607720
15410c25aac
hex26dc66c00

10431654912 has 264 divisors, whose sum is σ = 34786750752. Its totient is φ = 2949120000.

The previous prime is 10431654889. The next prime is 10431654913. The reversal of 10431654912 is 21945613401.

It is a happy number.

10431654912 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 165 + 491 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10431654913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6514912 + ... + 6516512.

Almost surely, 210431654912 is an apocalyptic number.

10431654912 is a gapful number since it is divisible by the number (12) 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 10431654912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17393375376).

10431654912 is an abundant number, since it is smaller than the sum of its proper divisors (24355095840).

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

10431654912 is a wasteful number, since it uses less digits than its factorization.

10431654912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10431654912 in words is "ten billion, four hundred thirty-one million, six hundred fifty-four thousand, nine hundred twelve".