Search a number
-
+
10676366470 = 2572111980773
BaseRepresentation
bin10011111000101110…
…00110110010000110
31000120001110121111101
421330113012302012
5133331122211340
64523223330314
7525366421600
oct117427066206
930501417441
1010676366470
114589592170
12209b5b099a
131011b73613
14733d08170
15427462c9a
hex27c5c6c86

10676366470 has 48 divisors (see below), whose sum is σ = 24387289488. Its totient is φ = 3327696960.

The previous prime is 10676366453. The next prime is 10676366471. The reversal of 10676366470 is 7466367601.

10676366470 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 2×106763664702 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10676366470.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10676366471) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 984997 + ... + 995776.

It is an arithmetic number, because the mean of its divisors is an integer number (508068531).

Almost surely, 210676366470 is an apocalyptic number.

10676366470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10676366470 is an abundant number, since it is smaller than the sum of its proper divisors (13710923018).

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

10676366470 is a wasteful number, since it uses less digits than its factorization.

10676366470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980805 (or 1980798 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 46.

It can be divided in two parts, 10676 and 366470, that added together give a triangular number (377146 = T868).

The spelling of 10676366470 in words is "ten billion, six hundred seventy-six million, three hundred sixty-six thousand, four hundred seventy".

Divisors: 1 2 5 7 10 11 14 22 35 49 55 70 77 98 110 154 245 385 490 539 770 1078 2695 5390 1980773 3961546 9903865 13865411 19807730 21788503 27730822 43577006 69327055 97057877 108942515 138654110 152519521 194115754 217885030 305039042 485289385 762597605 970578770 1067636647 1525195210 2135273294 5338183235 10676366470