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1006238456112 = 24342414943009
BaseRepresentation
bin11101010010010000111…
…11000101100100110000
310120012021111011211110010
432221020133011210300
5112441234021043422
62050132022134520
7132461345516511
oct16511037054460
93505244154403
101006238456112
1135881a41534a
12143023281440
1373b708947a6
14369b8ba8a08
151b2942a2b0c
hexea487c5930

1006238456112 has 40 divisors (see below), whose sum is σ = 2600062804080. Its totient is φ = 335333662720.

The previous prime is 1006238456087. The next prime is 1006238456161. The reversal of 1006238456112 is 2116548326001.

It is a super-2 number, since 2×10062384561122 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2267937 + ... + 2675072.

It is an arithmetic number, because the mean of its divisors is an integer number (65001570102).

Almost surely, 21006238456112 is an apocalyptic number.

1006238456112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1006238456112 is an abundant number, since it is smaller than the sum of its proper divisors (1593824347968).

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

1006238456112 is a wasteful number, since it uses less digits than its factorization.

1006238456112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4947261 (or 4947255 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 1006238456112 in words is "one trillion, six billion, two hundred thirty-eight million, four hundred fifty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 4241 8482 12723 16964 25446 33928 50892 67856 101784 203568 4943009 9886018 14829027 19772036 29658054 39544072 59316108 79088144 118632216 237264432 20963301169 41926602338 62889903507 83853204676 125779807014 167706409352 251559614028 335412818704 503119228056 1006238456112