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10648487892006 = 2322398124668807
BaseRepresentation
bin1001101011110100101101…
…0101101001010000100110
31101200222121102121102201200
42122331023111221100212
52343431100400021011
634351503043103330
72146220312441046
oct232751325512046
941628542542650
1010648487892006
113435aa889a538
12123b8b9071b46
135c31c04b4293
1428b564d6b726
15136ed1a18856
hex9af4b569426

10648487892006 has 24 divisors (see below), whose sum is σ = 23072686784784. Its totient is φ = 3549347807280.

The previous prime is 10648487891999. The next prime is 10648487892101. The reversal of 10648487892006 is 60029878484601.

10648487892006 is a `hidden beast` number, since 1 + 0 + 64 + 8 + 487 + 8 + 92 + 0 + 0 + 6 = 666.

10648487892006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106484878920062 (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 11 ways as a sum of consecutive naturals, for example, 11902746 + ... + 12766061.

It is an arithmetic number, because the mean of its divisors is an integer number (961361949366).

Almost surely, 210648487892006 is an apocalyptic number.

10648487892006 is an abundant number, since it is smaller than the sum of its proper divisors (12424198892778).

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

10648487892006 is a wasteful number, since it uses less digits than its factorization.

10648487892006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24692796 (or 24692793 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 10648487892006 in words is "ten trillion, six hundred forty-eight billion, four hundred eighty-seven million, eight hundred ninety-two thousand, six".

Divisors: 1 2 3 6 9 18 23981 47962 71943 143886 215829 431658 24668807 49337614 74006421 148012842 222019263 444038526 591582660667 1183165321334 1774747982001 3549495964002 5324243946003 10648487892006