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81117473661 = 327193710631723
BaseRepresentation
bin100101110001011111…
…0100110101101111101
321202101012211121200100
41023202332212231331
52312112033124121
6101133112551313
75601111102210
oct1134276465575
9252335747610
1081117473661
1131446776634
121387a0b2539
1378597c3033
143cd7345777
15219b657026
hex12e2fa6b7d

81117473661 has 96 divisors (see below), whose sum is σ = 144985917440. Its totient is φ = 42661406592.

The previous prime is 81117473651. The next prime is 81117473681. The reversal of 81117473661 is 16637471118.

It is a happy number.

81117473661 is a `hidden beast` number, since 8 + 1 + 117 + 473 + 6 + 61 = 666.

It is not a de Polignac number, because 81117473661 - 27 = 81117473533 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81117473611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47078346 + ... + 47080068.

Almost surely, 281117473661 is an apocalyptic number.

It is an amenable number.

81117473661 is a deficient number, since it is larger than the sum of its proper divisors (63868443779).

81117473661 is a wasteful number, since it uses less digits than its factorization.

81117473661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855 (or 2852 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The spelling of 81117473661 in words is "eighty-one billion, one hundred seventeen million, four hundred seventy-three thousand, six hundred sixty-one".

Divisors: 1 3 7 9 19 21 37 57 63 111 133 171 259 333 399 703 777 1063 1197 1723 2109 2331 3189 4921 5169 6327 7441 9567 12061 14763 15507 20197 22323 32737 36183 39331 44289 60591 63751 66969 98211 108549 117993 141379 181773 191253 229159 275317 294633 353979 424137 446257 573759 687477 747289 825951 1211269 1272411 1338771 1831549 2062431 2241867 2477853 3633807 4016313 5231023 5494647 6725601 8478883 10901421 12820843 15693069 16483941 25436649 34799431 38462529 47079207 67767313 76309947 104398293 115387587 203301939 243596017 313194879 474371191 609905817 730788051 1287578947 1423113573 2192364153 3862736841 4269340719 9013052629 11588210523 27039157887 81117473661