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92400111101 = 1712569432437
BaseRepresentation
bin101011000001101111…
…0011100110111111101
322211111112002222121002
41112003132130313331
53003213412023401
6110240435020045
76450521662004
oct1260336346775
9284445088532
1092400111101
11362064aa091
1215aa873a625
13893714966c
144687989c3b
15260be25a6b
hex158379cdfd

92400111101 has 8 divisors (see below), whose sum is σ = 97843421880. Its totient is φ = 86957690368.

The previous prime is 92400111091. The next prime is 92400111121. The reversal of 92400111101 is 10111100429.

It can be written as a sum of positive squares in 4 ways, for example, as 74810455225 + 17589655876 = 273515^2 + 132626^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 92400111101 - 222 = 92395916797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92400111121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2546 + ... + 429891.

It is an arithmetic number, because the mean of its divisors is an integer number (12230427735).

Almost surely, 292400111101 is an apocalyptic number.

It is an amenable number.

92400111101 is a deficient number, since it is larger than the sum of its proper divisors (5443310779).

92400111101 is a wasteful number, since it uses less digits than its factorization.

92400111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445023.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 92400111101 in words is "ninety-two billion, four hundred million, one hundred eleven thousand, one hundred one".

Divisors: 1 17 12569 213673 432437 7351429 5435300653 92400111101