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201141376686 = 23331853140863
BaseRepresentation
bin1011101101010011110…
…1011101011010101110
3201020011212222121222000
42323110331131122232
511243414143023221
6232223021433130
720350320330555
oct2732475353256
9636155877860
10201141376686
1178338077418
1232b95a0b7a6
1315c769291b3
149a41910d9c
15537377ee26
hex2ed4f5d6ae

201141376686 has 64 divisors (see below), whose sum is σ = 461943767040. Its totient is φ = 64807788960.

The previous prime is 201141376661. The next prime is 201141376721. The reversal of 201141376686 is 686673141102.

201141376686 is a `hidden beast` number, since 201 + 14 + 1 + 376 + 68 + 6 = 666.

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, 1357491 + ... + 1498353.

It is an arithmetic number, because the mean of its divisors is an integer number (7217871360).

Almost surely, 2201141376686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201141376686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230971883520).

201141376686 is an abundant number, since it is smaller than the sum of its proper divisors (260802390354).

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

201141376686 is a wasteful number, since it uses less digits than its factorization.

201141376686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141758 (or 141752 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 201141376686 in words is "two hundred one billion, one hundred forty-one million, three hundred seventy-six thousand, six hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 853 1674 1706 2559 5118 7677 15354 23031 26443 46062 52886 79329 140863 158658 237987 281726 422589 475974 713961 845178 1267767 1427922 2535534 3803301 4366753 7606602 8733506 13100259 26200518 39300777 78601554 117902331 120156139 235804662 240312278 360468417 720936834 1081405251 2162810502 3244215753 3724840309 6488431506 7449680618 11174520927 22349041854 33523562781 67047125562 100570688343 201141376686