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93394763142354 = 23241809124102417
BaseRepresentation
bin10101001111000100101001…
…101011100101010011010010
3110020200110012121211222201200
4111033010221223211103102
544220134433331023404
6530344543433212030
725446356203211352
oct2517045153452322
9406613177758650
1093394763142354
1127838550aa7603
12a584645261016
13401611c20961b
14190c48b462b62
15abe62ad77839
hex54f129ae54d2

93394763142354 has 24 divisors (see below), whose sum is σ = 202360161766620. Its totient is φ = 31130842848768.

The previous prime is 93394763142337. The next prime is 93394763142371. The reversal of 93394763142354 is 45324136749339.

93394763142354 is a `hidden beast` number, since 9 + 3 + 3 + 94 + 76 + 3 + 1 + 423 + 54 = 666.

93394763142354 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (93394763142337) and next prime (93394763142371).

It can be written as a sum of positive squares in 2 ways, for example, as 78637433450625 + 14757329691729 = 8867775^2 + 3841527^2 .

It is a super-3 number, since 3×933947631423543 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 93394763142291 and 93394763142300.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 61298647 + ... + 62803770.

Almost surely, 293394763142354 is an apocalyptic number.

93394763142354 is an abundant number, since it is smaller than the sum of its proper divisors (108965398624266).

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

93394763142354 is a wasteful number, since it uses less digits than its factorization.

93394763142354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124144234 (or 124144231 counting only the distinct ones).

The product of its digits is 176359680, while the sum is 63.

The spelling of 93394763142354 in words is "ninety-three trillion, three hundred ninety-four billion, seven hundred sixty-three million, one hundred forty-two thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 18 41809 83618 125427 250854 376281 752562 124102417 248204834 372307251 744614502 1116921753 2233843506 5188597952353 10377195904706 15565793857059 31131587714118 46697381571177 93394763142354