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5681151911232 = 2632719273127421
BaseRepresentation
bin101001010101011111100…
…0010101010010101000000
3202010010001020121102001100
41102222333002222111000
51221034444342124412
620025515105534400
71124310145322430
oct122527702522500
922103036542040
105681151911232
1118a03aa168096
12779066344400
133229656b1555
14158d7d7782c0
159cba6c49edc
hex52abf0aa540

5681151911232 has 1008 divisors, whose sum is σ = 20114821189632. Its totient is φ = 1501173596160.

The previous prime is 5681151911209. The next prime is 5681151911261. The reversal of 5681151911232 is 2321191511865.

5681151911232 is a `hidden beast` number, since 5 + 6 + 8 + 1 + 1 + 519 + 1 + 123 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 13494422382 + ... + 13494422802.

Almost surely, 25681151911232 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 5681151911232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10057410594816).

5681151911232 is an abundant number, since it is smaller than the sum of its proper divisors (14433669278400).

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

5681151911232 is a wasteful number, since it uses less digits than its factorization.

5681151911232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 652 counting only the distinct ones).

The product of its digits is 129600, while the sum is 45.

The spelling of 5681151911232 in words is "five trillion, six hundred eighty-one billion, one hundred fifty-one million, nine hundred eleven thousand, two hundred thirty-two".