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66246875136 = 2113413217139
BaseRepresentation
bin111101101100100111…
…110001100000000000
320022222212011221110000
4331230213301200000
52041133200001021
650233340240000
74533442101441
oct755447614000
9208885157400
1066246875136
11261056a7892
1210a09b40000
136329a13200
1432c63a72c8
151acada3b26
hexf6c9f1800

66246875136 has 720 divisors, whose sum is σ = 228502474200. Its totient is φ = 19046596608.

The previous prime is 66246875131. The next prime is 66246875143. The reversal of 66246875136 is 63157864266.

66246875136 is a `hidden beast` number, since 6 + 6 + 2 + 46 + 87 + 513 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (8709120) is a multiple of the sum of its prime factors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66246875131) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 476596155 + ... + 476596293.

Almost surely, 266246875136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66246875136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114251237100).

66246875136 is an abundant number, since it is smaller than the sum of its proper divisors (162255599064).

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

66246875136 is a wasteful number, since it uses less digits than its factorization.

66246875136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 174 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 66246875136 in words is "sixty-six billion, two hundred forty-six million, eight hundred seventy-five thousand, one hundred thirty-six".