Search a number
-
+
10651040736 = 2537174783239
BaseRepresentation
bin10011110101101100…
…11111101111100000
31000111021210221010020
421322312133233200
5133303131300421
64520520433440
7524641231620
oct117266375740
930437727106
1010651040736
114576264606
122093018880
13100984708b
147307d4880
1542510ddc6
hex27ad9fbe0

10651040736 has 384 divisors, whose sum is σ = 35115171840. Its totient is φ = 2757844992.

The previous prime is 10651040731. The next prime is 10651040747. The reversal of 10651040736 is 63704015601.

It is a super-2 number, since 2×106510407362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10651040697 and 10651040706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10651040731) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44564905 + ... + 44565143.

It is an arithmetic number, because the mean of its divisors is an integer number (91445760).

Almost surely, 210651040736 is an apocalyptic number.

10651040736 is a gapful number since it is divisible by the number (16) 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 10651040736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17557585920).

10651040736 is an abundant number, since it is smaller than the sum of its proper divisors (24464131104).

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

10651040736 is a wasteful number, since it uses less digits than its factorization.

10651040736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 10651040736 in words is "ten billion, six hundred fifty-one million, forty thousand, seven hundred thirty-six".