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3776765013 = 327210184793
BaseRepresentation
bin1110000100011100…
…1101110001010101
3100202012122112121200
43201013031301111
530213322440023
61422433103113
7162406654500
oct34107156125
910665575550
103776765013
1116689814aa
128949b7a99
134825c06c8
1427b844137
1517187b743
hexe11cdc55

3776765013 has 36 divisors (see below), whose sum is σ = 6408900108. Its totient is φ = 2136758400.

The previous prime is 3776764991. The next prime is 3776765059. The reversal of 3776765013 is 3105676773.

It is a happy number.

3776765013 is a `hidden beast` number, since 3 + 7 + 76 + 76 + 501 + 3 = 666.

3776765013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3549418929 + 227346084 = 59577^2 + 15078^2 .

It is not a de Polignac number, because 3776765013 - 218 = 3776502869 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3776765013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3776765063) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2145 + ... + 86937.

It is an arithmetic number, because the mean of its divisors is an integer number (178025003).

Almost surely, 23776765013 is an apocalyptic number.

It is an amenable number.

3776765013 is a deficient number, since it is larger than the sum of its proper divisors (2632135095).

3776765013 is a wasteful number, since it uses less digits than its factorization.

3776765013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84914 (or 84904 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 45.

The square root of 3776765013 is about 61455.3904307832. The cubic root of 3776765013 is about 1557.3037214257.

The spelling of 3776765013 in words is "three billion, seven hundred seventy-six million, seven hundred sixty-five thousand, thirteen".

Divisors: 1 3 7 9 21 49 63 101 147 303 441 707 909 2121 4949 6363 14847 44541 84793 254379 593551 763137 1780653 4154857 5341959 8564093 12464571 25692279 37393713 59948651 77076837 179845953 419640557 539537859 1258921671 3776765013