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10940726385 = 325415929933
BaseRepresentation
bin10100011000001111…
…00011110001110001
31001020110220111010100
422030013203301301
5134401311221020
65005345423013
7535056432321
oct121407436161
931213814110
1010940726385
114704833736
12215403aa69
1310548731c4
1475b081281
15440781a90
hex28c1e3c71

10940726385 has 24 divisors (see below), whose sum is σ = 19426463784. Its totient is φ = 5692734720.

The previous prime is 10940726333. The next prime is 10940726443. The reversal of 10940726385 is 58362704901.

10940726385 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 0 + 7 + 2 + 638 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 273141729 + 10667584656 = 16527^2 + 103284^2 .

It is not a de Polignac number, because 10940726385 - 211 = 10940724337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 10940726385.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2963122 + ... + 2966811.

It is an arithmetic number, because the mean of its divisors is an integer number (809435991).

It is a 1-persistent number, because it is pandigital, but 2⋅10940726385 = 21881452770 is not.

Almost surely, 210940726385 is an apocalyptic number.

10940726385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10940726385 is a deficient number, since it is larger than the sum of its proper divisors (8485737399).

10940726385 is a wasteful number, since it uses less digits than its factorization.

10940726385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5929985 (or 5929982 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10940726385 in words is "ten billion, nine hundred forty million, seven hundred twenty-six thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 41 45 123 205 369 615 1845 5929933 17789799 29649665 53369397 88948995 243127253 266846985 729381759 1215636265 2188145277 3646908795 10940726385