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66233843136 = 26321913146199
BaseRepresentation
bin111101101011110110…
…000011110111000000
320022221221122211220100
4331223312003313000
52041121330440021
650232153042400
74533223243326
oct755366036700
9208857584810
1066233843136
11260a930673a
1210a056b6400
1363270cc576
1432c4773d16
151ac9b7c626
hexf6bd83dc0

66233843136 has 168 divisors, whose sum is σ = 201369168000. Its totient is φ = 20755837440.

The previous prime is 66233843131. The next prime is 66233843167. The reversal of 66233843136 is 63134833266.

66233843136 is a `hidden beast` number, since 6 + 623 + 3 + 8 + 4 + 3 + 13 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 66233843091 and 66233843100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66233843131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1410565 + ... + 1456763.

It is an arithmetic number, because the mean of its divisors is an integer number (1198626000).

Almost surely, 266233843136 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 66233843136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100684584000).

66233843136 is an abundant number, since it is smaller than the sum of its proper divisors (135135324864).

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

66233843136 is a wasteful number, since it uses less digits than its factorization.

66233843136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46367 (or 46354 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

The spelling of 66233843136 in words is "sixty-six billion, two hundred thirty-three million, eight hundred forty-three thousand, one hundred thirty-six".