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2664234441792 = 26357117572939
BaseRepresentation
bin100110110001010000101…
…111110101110001000000
3100102200212002010122100000
4212301100233311301000
5322122323004114132
65355533222200000
7363325133050110
oct46612057656100
910380762118300
102664234441792
11937993982210
1237041a883000
1316430bcc6401
1492d41b27040
15494821d287c
hex26c50bf5c40

2664234441792 has 672 divisors, whose sum is σ = 9889922165760. Its totient is φ = 690859653120.

The previous prime is 2664234441767. The next prime is 2664234441811. The reversal of 2664234441792 is 2971444324662.

2664234441792 is a `hidden beast` number, since 2 + 6 + 6 + 4 + 23 + 444 + 179 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×26642344417923 (a number of 38 digits) contains 333 as substring.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 906509059 + ... + 906511997.

It is an arithmetic number, because the mean of its divisors is an integer number (14717146080).

Almost surely, 22664234441792 is an apocalyptic number.

2664234441792 is a gapful number since it is divisible by the number (22) 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 2664234441792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4944961082880).

2664234441792 is an abundant number, since it is smaller than the sum of its proper divisors (7225687723968).

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

2664234441792 is a wasteful number, since it uses less digits than its factorization.

2664234441792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741 (or 3719 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 54.

The spelling of 2664234441792 in words is "two trillion, six hundred sixty-four billion, two hundred thirty-four million, four hundred forty-one thousand, seven hundred ninety-two".