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66953427645 = 35131792319157
BaseRepresentation
bin111110010110101111…
…000011101010111101
320101211002200112021110
4332112233003222331
52044110034141040
650431420152233
74560111513336
oct762657035275
9211732615243
1066953427645
1126438512185
1210b86698679
136410207c10
14335216928d
151b1ce1c980
hexf96bc3abd

66953427645 has 32 divisors (see below), whose sum is σ = 115378365312. Its totient is φ = 32958127872.

The previous prime is 66953427643. The next prime is 66953427679. The reversal of 66953427645 is 54672435966.

It is not a de Polignac number, because 66953427645 - 21 = 66953427643 is a prime.

It is a super-2 number, since 2×669534276452 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66953427643) 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 31 ways as a sum of consecutive naturals, for example, 3485407 + ... + 3504563.

It is an arithmetic number, because the mean of its divisors is an integer number (3605573916).

Almost surely, 266953427645 is an apocalyptic number.

66953427645 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

66953427645 is a deficient number, since it is larger than the sum of its proper divisors (48424937667).

66953427645 is a wasteful number, since it uses less digits than its factorization.

66953427645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37101.

The product of its digits is 32659200, while the sum is 57.

The spelling of 66953427645 in words is "sixty-six billion, nine hundred fifty-three million, four hundred twenty-seven thousand, six hundred forty-five".

Divisors: 1 3 5 13 15 39 65 195 17923 19157 53769 57471 89615 95785 232999 249041 268845 287355 698997 747123 1164995 1245205 3494985 3735615 343350911 1030052733 1716754555 4463561843 5150263665 13390685529 22317809215 66953427645