Search a number
-
+
66332430036135 = 3453717232569117
BaseRepresentation
bin11110001010100001110001…
…11011011110110010100111
322200212022121002200121220000
433011100320323132302213
532143242304042124020
6353024410410512343
716654234311223464
oct1705207073366247
9280768532617800
1066332430036135
111a154475521a0a
1275338047356b3
132b021766a6183
14125471471066b
157a06d332e090
hex3c5438edeca7

66332430036135 has 80 divisors (see below), whose sum is σ = 122191650410016. Its totient is φ = 34401162039552.

The previous prime is 66332430036121. The next prime is 66332430036137. The reversal of 66332430036135 is 53163003423366.

66332430036135 is a `hidden beast` number, since 6 + 6 + 3 + 3 + 24 + 3 + 0 + 0 + 3 + 613 + 5 = 666.

It is not a de Polignac number, because 66332430036135 - 222 = 66332425841831 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 (66332430036137) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24534597 + ... + 27103713.

Almost surely, 266332430036135 is an apocalyptic number.

66332430036135 is a deficient number, since it is larger than the sum of its proper divisors (55859220373881).

66332430036135 is a wasteful number, since it uses less digits than its factorization.

66332430036135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2570894 (or 2570885 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 45.

The spelling of 66332430036135 in words is "sixty-six trillion, three hundred thirty-two billion, four hundred thirty million, thirty-six thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 37 45 81 111 135 185 333 405 555 999 1665 1723 2997 4995 5169 8615 14985 15507 25845 46521 63751 77535 139563 191253 232605 318755 573759 697815 956265 1721277 2569117 2868795 5163831 7707351 8606385 12845585 23122053 25819155 38536755 69366159 95057329 115610265 208098477 285171987 346830795 475286645 855515961 1040492385 1425859935 2566547883 4277579805 4426588591 7699643649 12832739415 13279765773 22132942955 38498218245 39839297319 66398828865 119517891957 163783777867 199196486595 358553675871 491351333601 597589459785 818918889335 1474054000803 1792768379355 2456756668005 4422162002409 7370270004015 13266486007227 22110810012045 66332430036135