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2292123755142 = 23213173187180797
BaseRepresentation
bin100001010110101101001…
…110001110001010000110
322010010101001020011221200
4201112231032032022012
5300023232140131032
64512553114523330
7324412651311414
oct41265516161206
98103331204850
102292123755142
118040a2116811
1231028b736546
131381b9690060
147cd219402b4
153e953e8947c
hex215ad38e286

2292123755142 has 96 divisors (see below), whose sum is σ = 5664702187872. Its totient is φ = 663570496512.

The previous prime is 2292123755111. The next prime is 2292123755209. The reversal of 2292123755142 is 2415573212922.

2292123755142 is a `hidden beast` number, since 2 + 2 + 9 + 2 + 123 + 7 + 5 + 514 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 12587488 + ... + 12768284.

It is an arithmetic number, because the mean of its divisors is an integer number (59007314457).

Almost surely, 22292123755142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2292123755142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832351093936).

2292123755142 is an abundant number, since it is smaller than the sum of its proper divisors (3372578432730).

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

2292123755142 is a wasteful number, since it uses less digits than its factorization.

2292123755142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184022 (or 184019 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 2292123755142 in words is "two trillion, two hundred ninety-two billion, one hundred twenty-three million, seven hundred fifty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1326 1989 3187 3978 6374 9561 19122 28683 41431 54179 57366 82862 108358 124293 162537 180797 248586 325074 361594 372879 487611 542391 704327 745758 975222 1084782 1408654 1627173 2112981 2350361 3073549 3254346 4225962 4700722 6147098 6338943 7051083 9220647 12677886 14102166 18441294 21153249 27661941 39956137 42306498 55323882 79912274 119868411 239736822 359605233 576200039 719210466 1152400078 1728600117 3457200234 5185800351 7490600507 9795400663 10371600702 14981201014 19590801326 22471801521 29386201989 44943603042 58772403978 67415404563 88158605967 127340208619 134830809126 176317211934 254680417238 382020625857 764041251714 1146061877571 2292123755142