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10644678383616 = 211323783383491
BaseRepresentation
bin1001101011100110100001…
…0001100001100000000000
31101200121202221100100122100
42122321220101201200000
52343400300131233431
634350033040110400
72146024024240434
oct232715021414000
941617687310570
1010644678383616
1134344234944a2
12123b015305400
135c2a3419acc4
1428b2c30429c4
15136d5c3704e6
hex9ae68461800

10644678383616 has 576 divisors, whose sum is σ = 32103801999360. Its totient is φ = 3394900131840.

The previous prime is 10644678383597. The next prime is 10644678383621. The reversal of 10644678383616 is 61638387644601.

10644678383616 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 4 + 6 + 7 + 8 + 3 + 8 + 3 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×106446783836162 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21679589131 + ... + 21679589621.

It is an arithmetic number, because the mean of its divisors is an integer number (55735767360).

Almost surely, 210644678383616 is an apocalyptic number.

10644678383616 is a gapful number since it is divisible by the number (16) 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 10644678383616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16051900999680).

10644678383616 is an abundant number, since it is smaller than the sum of its proper divisors (21459123615744).

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

10644678383616 is a wasteful number, since it uses less digits than its factorization.

10644678383616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 10644678383616 in words is "ten trillion, six hundred forty-four billion, six hundred seventy-eight million, three hundred eighty-three thousand, six hundred sixteen".