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20146734342 = 2337283188333
BaseRepresentation
bin10010110000110101…
…101100010100000110
31221000001122010221000
4102300311230110012
5312230030444332
613131050234130
71312153262550
oct226065542406
957001563830
1020146734342
1185a9340779
123aa3125946
131b90c022a7
14d919a04d0
157cdaa2b7c
hex4b0d6c506

20146734342 has 64 divisors (see below), whose sum is σ = 51347381760. Its totient is φ = 5735839392.

The previous prime is 20146734301. The next prime is 20146734397. The reversal of 20146734342 is 24343764102.

20146734342 is a `hidden beast` number, since 201 + 46 + 73 + 4 + 342 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20146734297 and 20146734306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12808 + ... + 201140.

It is an arithmetic number, because the mean of its divisors is an integer number (802302840).

Almost surely, 220146734342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20146734342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25673690880).

20146734342 is an abundant number, since it is smaller than the sum of its proper divisors (31200647418).

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

20146734342 is a wasteful number, since it uses less digits than its factorization.

20146734342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188634 (or 188628 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 20146734342 in words is "twenty billion, one hundred forty-six million, seven hundred thirty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 283 378 566 849 1698 1981 2547 3962 5094 5943 7641 11886 15282 17829 35658 53487 106974 188333 376666 564999 1129998 1318331 1694997 2636662 3389994 3954993 5084991 7909986 10169982 11864979 23729958 35594937 53298239 71189874 106596478 159894717 319789434 373087673 479684151 746175346 959368302 1119263019 1439052453 2238526038 2878104906 3357789057 6715578114 10073367171 20146734342