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66407733135 = 3252371903691
BaseRepresentation
bin111101110110001101…
…011001011110001111
320100102001212101010200
4331312031121132033
52042000334430020
650301324104543
74540434263262
oct756615313617
9210361771120
1066407733135
1126188485887
1210a53995153
136354144363
1432dd8bacd9
151ada07a590
hexf7635978f

66407733135 has 48 divisors (see below), whose sum is σ = 121803222528. Its totient is φ = 33400382400.

The previous prime is 66407733127. The next prime is 66407733149. The reversal of 66407733135 is 53133770466.

It is a happy number.

It is not a de Polignac number, because 66407733135 - 23 = 66407733127 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 an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 378361 + ... + 525330.

It is an arithmetic number, because the mean of its divisors is an integer number (2537567136).

Almost surely, 266407733135 is an apocalyptic number.

66407733135 is a deficient number, since it is larger than the sum of its proper divisors (55395489393).

66407733135 is a wasteful number, since it uses less digits than its factorization.

66407733135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903796 (or 903793 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 66407733135 in words is "sixty-six billion, four hundred seven million, seven hundred thirty-three thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 23 45 69 71 115 207 213 345 355 639 1035 1065 1633 3195 4899 8165 14697 24495 73485 903691 2711073 4518455 8133219 13555365 20784893 40666095 62354679 64162061 103924465 187064037 192486183 311773395 320810305 577458549 935320185 962430915 1475727403 2887292745 4427182209 7378637015 13281546627 22135911045 66407733135