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66196378953 = 33293122911909
BaseRepresentation
bin111101101001100111…
…001001010101001001
320022212100011110201000
4331221213021111021
52041032233111303
650224334045213
74532256636315
oct755147112511
9208770143630
1066196378953
112608a148301
12109b5049809
13631c413003
1432bd7c0b45
151ac672bda3
hexf699c9549

66196378953 has 64 divisors (see below), whose sum is σ = 105189120000. Its totient is φ = 41051162880.

The previous prime is 66196378949. The next prime is 66196378981. The reversal of 66196378953 is 35987369166.

66196378953 is a `hidden beast` number, since 6 + 619 + 6 + 3 + 7 + 8 + 9 + 5 + 3 = 666.

It is not a de Polignac number, because 66196378953 - 22 = 66196378949 is a prime.

It is not an unprimeable number, because it can be changed into a prime (66196378153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5552563 + ... + 5564471.

It is an arithmetic number, because the mean of its divisors is an integer number (1643580000).

Almost surely, 266196378953 is an apocalyptic number.

It is an amenable number.

66196378953 is a deficient number, since it is larger than the sum of its proper divisors (38992741047).

66196378953 is a wasteful number, since it uses less digits than its factorization.

66196378953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12207 (or 12201 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 63.

The spelling of 66196378953 in words is "sixty-six billion, one hundred ninety-six million, three hundred seventy-eight thousand, nine hundred fifty-three".

Divisors: 1 3 9 27 29 31 87 93 229 261 279 687 783 837 899 2061 2697 6183 6641 7099 8091 11909 19923 21297 24273 35727 59769 63891 107181 179307 191673 205871 321543 345361 369179 617613 1036083 1107537 1852839 2727161 3108249 3322611 5558517 8181483 9324747 9967833 10706191 24544449 32118573 73633347 79087669 84541991 96355719 237263007 253625973 289067157 711789021 760877919 2135367063 2282633757 2451717739 7355153217 22065459651 66196378953