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105551662014 = 23237517130649
BaseRepresentation
bin110001001001101011…
…1101000101110111110
3101002110002001222211100
41202103113220232332
53212132211141024
6120253442233530
710424445216021
oct1422327505676
9332402058740
10105551662014
1140845185a27
12185590558a6
139c51a41156
1451744c51b8
152b2b8117c9
hex18935e8bbe

105551662014 has 48 divisors (see below), whose sum is σ = 234929307600. Its totient is φ = 34225234560.

The previous prime is 105551662009. The next prime is 105551662019. The reversal of 105551662014 is 410266155501.

105551662014 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 5 + 16 + 620 + 14 = 666.

It is an interprime number because it is at equal distance from previous prime (105551662009) and next prime (105551662019).

It is a super-2 number, since 2×1055516620142 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105551662014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105551662019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3428562 + ... + 3459210.

It is an arithmetic number, because the mean of its divisors is an integer number (4894360575).

Almost surely, 2105551662014 is an apocalyptic number.

105551662014 is an abundant number, since it is smaller than the sum of its proper divisors (129377645586).

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

105551662014 is a wasteful number, since it uses less digits than its factorization.

105551662014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35865 (or 35862 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 105551662014 in words is "one hundred five billion, five hundred fifty-one million, six hundred sixty-two thousand, fourteen".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 5171 10342 15513 30649 31026 46539 61298 91947 93078 183894 191327 275841 382654 551682 573981 1134013 1147962 1721943 2268026 3402039 3443886 6804078 10206117 20412234 158485979 316971958 475457937 950915874 1426373811 2852747622 5863981223 11727962446 17591943669 35183887338 52775831007 105551662014