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10940645376 = 21636229
BaseRepresentation
bin10100011000001110…
…10000000000000000
31001020110202101000000
422030013100000000
5134401301123001
65005344000000
7535055644203
oct121407200000
931213671000
1010940645376
114704788891
122154000000
13105484537b
1475b05d93a
15440767a86
hex28c1d0000

10940645376 has 238 divisors, whose sum is σ = 32949938690. Its totient is φ = 3630956544.

The previous prime is 10940645371. The next prime is 10940645399. The reversal of 10940645376 is 67354604901.

10940645376 is a `hidden beast` number, since 10 + 9 + 40 + 64 + 537 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10749542400 + 191102976 = 103680^2 + 13824^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10940645371) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 47775630 + ... + 47775858.

Almost surely, 210940645376 is an apocalyptic number.

10940645376 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 10940645376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16474969345).

10940645376 is an abundant number, since it is smaller than the sum of its proper divisors (22009293314).

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

10940645376 is an frugal number, since it uses more digits than its factorization.

10940645376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 10940645376 in words is "ten billion, nine hundred forty million, six hundred forty-five thousand, three hundred seventy-six".