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10741561137 = 321924217853
BaseRepresentation
bin10100000000011111…
…10011011100110001
31000201121010211202200
422000033303130301
5133444314424022
64533512533413
7530120522526
oct120017633461
930647124680
1010741561137
11461237095a
1220b93b1269
13102251bb48
1473c83914d
1542d03ebac
hex2803f3731

10741561137 has 36 divisors (see below), whose sum is σ = 16416163764. Its totient is φ = 6767167680.

The previous prime is 10741561133. The next prime is 10741561139. The reversal of 10741561137 is 73116514701.

It is a happy number.

10741561137 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 1 + 5 + 611 + 37 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 121022001 + 10620539136 = 11001^2 + 103056^2 .

It is not a de Polignac number, because 10741561137 - 22 = 10741561133 is a prime.

It is a super-2 number, since 2×107415611372 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10741561133) 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, 1363903 + ... + 1371755.

It is an arithmetic number, because the mean of its divisors is an integer number (456004549).

Almost surely, 210741561137 is an apocalyptic number.

It is an amenable number.

10741561137 is a deficient number, since it is larger than the sum of its proper divisors (5674602627).

10741561137 is a wasteful number, since it uses less digits than its factorization.

10741561137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8318 (or 8296 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 10741561137 in words is "ten billion, seven hundred forty-one million, five hundred sixty-one thousand, one hundred thirty-seven".

Divisors: 1 3 9 19 57 171 361 421 1083 1263 3249 3789 7853 7999 23559 23997 70677 71991 149207 151981 447621 455943 1342863 1367829 2834933 3306113 8504799 9918339 25514397 29755017 62816147 188448441 565345323 1193506793 3580520379 10741561137