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10069103948814 = 234607310234639
BaseRepresentation
bin1001001010000110010101…
…0111010011010000001110
31022122121010011111120120000
42102201211113103100032
52304433011102330224
633225403230305130
72056316532252651
oct222414527232016
938577104446500
1010069103948814
113232312750619
1211675626581a6
13580687a5c971
1426b4c0b35898
15126dc1a570c9
hex928655d340e

10069103948814 has 40 divisors (see below), whose sum is σ = 22565968819680. Its totient is φ = 3355814984544.

The previous prime is 10069103948639. The next prime is 10069103948819. The reversal of 10069103948814 is 41884930196001.

10069103948814 is a `hidden beast` number, since 100 + 6 + 9 + 10 + 39 + 488 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10069103948819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4133494 + ... + 6101145.

It is an arithmetic number, because the mean of its divisors is an integer number (564149220492).

Almost surely, 210069103948814 is an apocalyptic number.

10069103948814 is an abundant number, since it is smaller than the sum of its proper divisors (12496864870866).

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

10069103948814 is a wasteful number, since it uses less digits than its factorization.

10069103948814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10240726 (or 10240717 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 10069103948814 in words is "ten trillion, sixty-nine billion, one hundred three million, nine hundred forty-eight thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 6073 12146 18219 36438 54657 109314 163971 327942 491913 983826 10234639 20469278 30703917 61407834 92111751 184223502 276335253 552670506 829005759 1658011518 62154962647 124309925294 186464887941 372929775882 559394663823 1118789327646 1678183991469 3356367982938 5034551974407 10069103948814