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19942542432 = 253269244939
BaseRepresentation
bin10010100100101010…
…110000110001100000
31220110211102010021200
4102210222300301200
5311320242324212
613054513521200
71304123546061
oct224452606140
956424363250
1019942542432
11850405532a
123a46873200
131b5a80ac87
14d7280a568
157babbb6dc
hex4a4ab0c60

19942542432 has 36 divisors (see below), whose sum is σ = 56711605860. Its totient is φ = 6647514048.

The previous prime is 19942542401. The next prime is 19942542457. The reversal of 19942542432 is 23424524991.

19942542432 is a `hidden beast` number, since 19 + 94 + 2 + 542 + 4 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34622182 + ... + 34622757.

It is an arithmetic number, because the mean of its divisors is an integer number (1575322385).

Almost surely, 219942542432 is an apocalyptic number.

19942542432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19942542432 is an abundant number, since it is smaller than the sum of its proper divisors (36769063428).

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

19942542432 is a wasteful number, since it uses less digits than its factorization.

19942542432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69244955 (or 69244944 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 19942542432 in words is "nineteen billion, nine hundred forty-two million, five hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 69244939 138489878 207734817 276979756 415469634 553959512 623204451 830939268 1107919024 1246408902 1661878536 2215838048 2492817804 3323757072 4985635608 6647514144 9971271216 19942542432