Search a number
-
+
66376107942144 = 283711131910344119
BaseRepresentation
bin11110001011110011001000…
…10101011110000100000000
322201000111100002101010221120
433011321210111132010000
532200001232113122034
6353100432451552240
716660341555261360
oct1705714425360400
9281014302333846
1066376107942144
111a170a4956a1a0
1275401742bb680
132b06317714a80
14125689954a9a0
157a18dcb65c49
hex3c5e6455e100

66376107942144 has 1152 divisors, whose sum is σ = 252103571865600. Its totient is φ = 14930039439360.

The previous prime is 66376107942119. The next prime is 66376107942161. The reversal of 66376107942144 is 44124970167366.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1504456917 + ... + 1504501035.

Almost surely, 266376107942144 is an apocalyptic number.

66376107942144 is a gapful number since it is divisible by the number (64) 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 66376107942144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126051785932800).

66376107942144 is an abundant number, since it is smaller than the sum of its proper divisors (185727463923456).

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

66376107942144 is a wasteful number, since it uses less digits than its factorization.

66376107942144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44291 (or 44277 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 60.

The spelling of 66376107942144 in words is "sixty-six trillion, three hundred seventy-six billion, one hundred seven million, nine hundred forty-two thousand, one hundred forty-four".