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38923009138242 = 2332113416096993
BaseRepresentation
bin10001101100110011110000…
…01000100001111001000010
312002211000002102121120111000
420312121320020201321002
520100203310314410432
6214440552240232430
711125044310545615
oct1066317010417102
9162730072546430
1038923009138242
1111447178a35209
12444765900b716
13189456872abb8
14987c52bdc17c
1547772428357c
hex236678221e42

38923009138242 has 32 divisors (see below), whose sum is σ = 86905507527360. Its totient is φ = 12912846629760.

The previous prime is 38923009138241. The next prime is 38923009138253. The reversal of 38923009138242 is 24283190032983.

38923009138242 is a `hidden beast` number, since 3 + 8 + 9 + 2 + 300 + 91 + 3 + 8 + 242 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (38923009138241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1708037103 + ... + 1708059890.

It is an arithmetic number, because the mean of its divisors is an integer number (2715797110230).

Almost surely, 238923009138242 is an apocalyptic number.

38923009138242 is an abundant number, since it is smaller than the sum of its proper divisors (47982498389118).

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

38923009138242 is a wasteful number, since it uses less digits than its factorization.

38923009138242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416097215 (or 3416097209 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 38923009138242 in words is "thirty-eight trillion, nine hundred twenty-three billion, nine million, one hundred thirty-eight thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 211 422 633 1266 1899 3798 5697 11394 3416096993 6832193986 10248290979 20496581958 30744872937 61489745874 92234618811 184469237622 720796465523 1441592931046 2162389396569 4324778793138 6487168189707 12974336379414 19461504569121 38923009138242