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807613965421 = 5641846116921
BaseRepresentation
bin10111100000010011000…
…10110010010001101101
32212012121000011020222221
423300021202302101231
5101212443133343141
61415002430035341
7112230266303644
oct13601142622155
92765530136887
10807613965421
112915640356aa
12110630348b51
135b20852a963
142b13566235b
151601b986bd1
hexbc098b246d

807613965421 has 8 divisors (see below), whose sum is σ = 807900344888. Its totient is φ = 807327648000.

The previous prime is 807613965419. The next prime is 807613965437. The reversal of 807613965421 is 124569316708.

807613965421 = T1 + T2 + ... + T16921.

807613965421 is a nontrivial binomial coefficient, being equal to C(16923, 3).

It can be written as a sum of positive squares in 4 ways, for example, as 592884600100 + 214729365321 = 769990^2 + 463389^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 5-Lehmer number, since φ(807613965421) divides (807613965421-1)5.

It is a cyclic number.

It is not a de Polignac number, because 807613965421 - 21 = 807613965419 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807613965451) by changing a digit.

It is the 16921-st tetrahedral number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47720041 + ... + 47736961.

It is an arithmetic number, because the mean of its divisors is an integer number (100987543111).

It is a 2-persistent number, because it is pandigital, and so is 2⋅807613965421 = 1615227930842, but 3⋅807613965421 = 2422841896263 is not.

Almost surely, 2807613965421 is an apocalyptic number.

It is an amenable number.

807613965421 is a deficient number, since it is larger than the sum of its proper divisors (286379467).

807613965421 is a wasteful number, since it uses less digits than its factorization.

807613965421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31023.

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 807613965421 in words is "eight hundred seven billion, six hundred thirteen million, nine hundred sixty-five thousand, four hundred twenty-one".

Divisors: 1 5641 8461 16921 47728501 95451361 143168581 807613965421