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66246107136 = 213311372179
BaseRepresentation
bin111101101100100100…
…110110000000000000
320022222210201220221120
4331230210312000000
52041133000412021
650233311552240
74533432422406
oct755444660000
9208883656846
1066246107136
1126105222880
1210a0982b680
136329804781
1432c6247476
151acaca12c6
hexf6c936000

66246107136 has 336 divisors, whose sum is σ = 199159611840. Its totient is φ = 19422904320.

The previous prime is 66246107131. The next prime is 66246107141. The reversal of 66246107136 is 63170164266.

It is an interprime number because it is at equal distance from previous prime (66246107131) and next prime (66246107141).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66246107131) 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, 370089895 + ... + 370090073.

It is an arithmetic number, because the mean of its divisors is an integer number (592736940).

Almost surely, 266246107136 is an apocalyptic number.

66246107136 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66246107136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99579805920).

66246107136 is an abundant number, since it is smaller than the sum of its proper divisors (132913504704).

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

66246107136 is a wasteful number, since it uses less digits than its factorization.

66246107136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 66246107136 in words is "sixty-six billion, two hundred forty-six million, one hundred seven thousand, one hundred thirty-six".