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11137765401 = 32719534192
BaseRepresentation
bin10100101111101110…
…01101000000011001
31001202012200002211200
422113313031000121
5140302231443101
65041104544413
7543001305150
oct122767150031
931665602750
1011137765401
1147a5a83aa4
1221aa022109
131086631839
147792d2597
15452c03986
hex297dcd019

11137765401 has 72 divisors (see below), whose sum is σ = 19766185920. Its totient is φ = 5901584832.

The previous prime is 11137765393. The next prime is 11137765411. The reversal of 11137765401 is 10456773111.

It is a happy number.

11137765401 is a `hidden beast` number, since 1 + 11 + 37 + 76 + 540 + 1 = 666.

11137765401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11137765401 - 23 = 11137765393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11137765411) 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 71 ways as a sum of consecutive naturals, for example, 26581570 + ... + 26581988.

It is an arithmetic number, because the mean of its divisors is an integer number (274530360).

Almost surely, 211137765401 is an apocalyptic number.

It is an amenable number.

11137765401 is a deficient number, since it is larger than the sum of its proper divisors (8628420519).

11137765401 is an equidigital number, since it uses as much as digits as its factorization.

11137765401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 501 counting only the distinct ones).

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

The spelling of 11137765401 in words is "eleven billion, one hundred thirty-seven million, seven hundred sixty-five thousand, four hundred one".

Divisors: 1 3 7 9 19 21 53 57 63 133 159 171 371 399 419 477 1007 1113 1197 1257 2933 3021 3339 3771 7049 7961 8799 9063 21147 22207 23883 26397 55727 63441 66621 71649 155449 167181 175561 199863 421933 466347 501543 526683 1228927 1265799 1399041 1580049 2953531 3335659 3686781 3797397 8860593 9304733 10006977 11060343 23349613 26581779 27914199 30020931 65133131 70048839 83742597 176789927 195399393 210146517 530369781 586198179 1237529489 1591109343 3712588467 11137765401