Search a number
-
+
10024344512 = 267132314271
BaseRepresentation
bin10010101010111111…
…10101101111000000
3221212121120110111222
421111133311233000
5131012213011022
64334412254212
7503261344130
oct112537655700
927777513458
1010024344512
114284532446
121b39171368
13c39a62200
146b149cac0
153da0bb242
hex2557f5bc0

10024344512 has 168 divisors, whose sum is σ = 25417101312. Its totient is φ = 3836851200.

The previous prime is 10024344497. The next prime is 10024344527. The reversal of 10024344512 is 21544342001.

It is an interprime number because it is at equal distance from previous prime (10024344497) and next prime (10024344527).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2344937 + ... + 2349207.

Almost surely, 210024344512 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 10024344512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12708550656).

10024344512 is an abundant number, since it is smaller than the sum of its proper divisors (15392756800).

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

10024344512 is a wasteful number, since it uses less digits than its factorization.

10024344512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4347 (or 4324 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 10024344512 its reverse (21544342001), we get a palindrome (31568686513).

The spelling of 10024344512 in words is "ten billion, twenty-four million, three hundred forty-four thousand, five hundred twelve".