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6710640642 = 233374181919
BaseRepresentation
bin1100011111111110…
…00100000000000010
3122022200020212101000
412033333010000002
5102220411000032
63025520152430
7325203334656
oct61777040002
918280225330
106710640642
112933a88702
121373468716
1382c3924a4
14479356a66
1529420ce7c
hex18ffc4002

6710640642 has 64 divisors (see below), whose sum is σ = 15689318400. Its totient is φ = 2123314560.

The previous prime is 6710640631. The next prime is 6710640691. The reversal of 6710640642 is 2460460176.

6710640642 is a `hidden beast` number, since 6 + 7 + 1 + 0 + 6 + 4 + 0 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6710640597 and 6710640606.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40959 + ... + 122877.

It is an arithmetic number, because the mean of its divisors is an integer number (245145600).

Almost surely, 26710640642 is an apocalyptic number.

It is a pronic number, being equal to 81918×81919.

It is a practical number, because each smaller number is the sum of distinct divisors of 6710640642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7844659200).

6710640642 is an abundant number, since it is smaller than the sum of its proper divisors (8978677758).

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

6710640642 is a wasteful number, since it uses less digits than its factorization.

6710640642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82008 (or 82002 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6710640642 is about 81918.4999984741. The cubic root of 6710640642 is about 1886.2011020133.

The spelling of 6710640642 in words is "six billion, seven hundred ten million, six hundred forty thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 41 54 74 82 111 123 222 246 333 369 666 738 999 1107 1517 1998 2214 3034 4551 9102 13653 27306 40959 81918 81919 163838 245757 491514 737271 1474542 2211813 3031003 3358679 4423626 6062006 6717358 9093009 10076037 18186018 20152074 27279027 30228111 54558054 60456222 81837081 90684333 124271123 163674162 181368666 248542246 372813369 745626738 1118440107 2236880214 3355320321 6710640642