Search a number
-
+
2663966303712 = 25337877502247
BaseRepresentation
bin100110110001000000110…
…000111110010111100000
3100102200011101120211001000
4212301000300332113200
5322121300333204322
65355450443112000
7363315365652330
oct46610060762740
910380141524030
102663966303712
1193786659009a
12370364b12600
131642985a2c1c
1492d182890c0
15494688b93ac
hex26c40c3e5e0

2663966303712 has 192 divisors, whose sum is σ = 8890030679040. Its totient is φ = 760263833088.

The previous prime is 2663966303681. The next prime is 2663966303717. The reversal of 2663966303712 is 2173036693662.

It is a happy number.

2663966303712 is a `hidden beast` number, since 266 + 3 + 9 + 6 + 6 + 3 + 0 + 371 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2663966303717) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5052973 + ... + 5555219.

It is an arithmetic number, because the mean of its divisors is an integer number (46302243120).

Almost surely, 22663966303712 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 2663966303712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445015339520).

2663966303712 is an abundant number, since it is smaller than the sum of its proper divisors (6226064375328).

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

2663966303712 is a wasteful number, since it uses less digits than its factorization.

2663966303712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503150 (or 503136 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 54.

The spelling of 2663966303712 in words is "two trillion, six hundred sixty-three billion, nine hundred sixty-six million, three hundred three thousand, seven hundred twelve".