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9293412042 = 23519399079
BaseRepresentation
bin10001010011110111…
…00011011011001010
3212222200012020200000
420221323203123022
5123013103141132
64134102023430
7446204461515
oct105173433312
925880166600
109293412042
113a39986022
121974417b76
13b514b25a5
14642391d7c
15395d3887c
hex229ee36ca

9293412042 has 48 divisors (see below), whose sum is σ = 20989899840. Its totient is φ = 3081722112.

The previous prime is 9293411957. The next prime is 9293412043. The reversal of 9293412042 is 2402143929.

It is a junction number, because it is equal to n+sod(n) for n = 9293411988 and 9293412006.

It is not an unprimeable number, because it can be changed into a prime (9293412043) 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, 44259 + ... + 143337.

It is an arithmetic number, because the mean of its divisors is an integer number (437289580).

Almost surely, 29293412042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9293412042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10494949920).

9293412042 is an abundant number, since it is smaller than the sum of its proper divisors (11696487798).

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

9293412042 is a wasteful number, since it uses less digits than its factorization.

9293412042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99289 (or 99277 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 9293412042 is about 96402.3445876707. The cubic root of 9293412042 is about 2102.4470372639.

It can be divided in two parts, 92934 and 12042, that added together give a 4-th power (104976 = 184).

The spelling of 9293412042 in words is "nine billion, two hundred ninety-three million, four hundred twelve thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 193 243 386 486 579 1158 1737 3474 5211 10422 15633 31266 46899 93798 99079 198158 297237 594474 891711 1783422 2675133 5350266 8025399 16050798 19122247 24076197 38244494 48152394 57366741 114733482 172100223 344200446 516300669 1032601338 1548902007 3097804014 4646706021 9293412042