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66313674405 = 335112313114821
BaseRepresentation
bin111101110000100110…
…100101111010100101
320100011111212200211000
4331300212211322211
52041302300040110
650244124103513
74535212634466
oct756046457245
9210144780730
1066313674405
112613a3820a0
1210a28394b99
13633a800bc4
1432d11d4d6d
151ad1b9b1c0
hexf709a5ea5

66313674405 has 128 divisors (see below), whose sum is σ = 135233556480. Its totient is φ = 30517344000.

The previous prime is 66313674389. The next prime is 66313674407. The reversal of 66313674405 is 50447631366.

66313674405 is a `hidden beast` number, since 6 + 631 + 3 + 6 + 7 + 4 + 4 + 0 + 5 = 666.

It is not a de Polignac number, because 66313674405 - 24 = 66313674389 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66313674407) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4466895 + ... + 4481715.

It is an arithmetic number, because the mean of its divisors is an integer number (1056512160).

Almost surely, 266313674405 is an apocalyptic number.

It is an amenable number.

66313674405 is an abundant number, since it is smaller than the sum of its proper divisors (68919882075).

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

66313674405 is a wasteful number, since it uses less digits than its factorization.

66313674405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15000 (or 14994 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 66313674405 in words is "sixty-six billion, three hundred thirteen million, six hundred seventy-four thousand, four hundred five".

Divisors: 1 3 5 9 11 15 23 27 33 45 55 69 99 115 131 135 165 207 253 297 345 393 495 621 655 759 1035 1179 1265 1441 1485 1965 2277 3013 3105 3537 3795 4323 5895 6831 7205 9039 11385 12969 14821 15065 17685 21615 27117 33143 34155 38907 44463 45195 64845 74105 81351 99429 133389 135585 163031 165715 194535 222315 298287 340883 400167 406755 489093 497145 666945 815155 894861 1022649 1467279 1491435 1704415 1941551 2000835 2445465 3067947 3749713 4401837 4474305 5113245 5824653 7336395 9203841 9707755 11249139 15339735 17473959 18748565 21357061 22009185 29123265 33747417 44655673 46019205 52421877 56245695 64071183 87369795 101242251 106785305 133967019 168737085 192213549 223278365 262109385 320355915 401901057 491212403 506211255 576640647 669835095 961067745 1205703171 1473637209 2009505285 2456062015 2883203235 4420911627 6028515855 7368186045 13262734881 22104558135 66313674405