Search a number
-
+
10676367750 = 235314235157
BaseRepresentation
bin10011111000101110…
…00111000110000110
31000120001110200020210
421330113013012012
5133331122232000
64523223340250
7525366425406
oct117427070606
930501420223
1010676367750
114589593124
12209b5b1686
131011b74089
14733d08806
15427463350
hex27c5c7186

10676367750 has 32 divisors (see below), whose sum is σ = 26648215776. Its totient is φ = 2847031200.

The previous prime is 10676367731. The next prime is 10676367763. The reversal of 10676367750 is 5776367601.

10676367750 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106763677502 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10676367750.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7116829 + ... + 7118328.

It is an arithmetic number, because the mean of its divisors is an integer number (832756743).

Almost surely, 210676367750 is an apocalyptic number.

10676367750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10676367750 is an abundant number, since it is smaller than the sum of its proper divisors (15971848026).

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

10676367750 is a wasteful number, since it uses less digits than its factorization.

10676367750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14235177 (or 14235167 counting only the distinct ones).

The product of its (nonzero) digits is 1111320, while the sum is 48.

The spelling of 10676367750 in words is "ten billion, six hundred seventy-six million, three hundred sixty-seven thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 250 375 750 14235157 28470314 42705471 71175785 85410942 142351570 213527355 355878925 427054710 711757850 1067636775 1779394625 2135273550 3558789250 5338183875 10676367750