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2064603340800 = 213335271113373
BaseRepresentation
bin11110000010110011111…
…100101110000000000000
321022101002202102121011000
4132002303330232000000
5232311301423401200
64220244330452000
7302106536561310
oct36026374560000
97271082377130
102064603340800
11726658841a30
12294173594000
1311c8ca90b350
1471cda86d440
1538a89933300
hex1e0b3f2e000

2064603340800 has 2688 divisors, whose sum is σ = 10211416427520. Its totient is φ = 394946150400.

The previous prime is 2064603340799. The next prime is 2064603340843. The reversal of 2064603340800 is 80433064602.

It is a happy number.

2064603340800 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 603 + 3 + 40 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5535129414 + ... + 5535129786.

It is an arithmetic number, because the mean of its divisors is an integer number (3798890040).

Almost surely, 22064603340800 is an apocalyptic number.

2064603340800 is a gapful number since it is divisible by the number (20) 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 2064603340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5105708213760).

2064603340800 is an abundant number, since it is smaller than the sum of its proper divisors (8146813086720).

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

2064603340800 is a wasteful number, since it uses less digits than its factorization.

2064603340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 2064603340800 in words is "two trillion, sixty-four billion, six hundred three million, three hundred forty thousand, eight hundred".