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201893910016 = 291920753897
BaseRepresentation
bin1011110000000111010…
…0001001011000000000
3201022010100000021121211
42330001310021120000
511301434320110031
6232425423055504
720405055630361
oct2740164113000
9638110007554
10201893910016
1178693937897
1233165a41594
13160667ccaa6
149ab3841b68
1553b987cbb1
hex2f01d09600

201893910016 has 40 divisors (see below), whose sum is σ = 424624753080. Its totient is φ = 95633952768.

The previous prime is 201893910013. The next prime is 201893910017. The reversal of 201893910016 is 610019398102.

It is a super-2 number, since 2×2018939100162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201893910013) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 10367221 + ... + 10386676.

It is an arithmetic number, because the mean of its divisors is an integer number (10615618827).

Almost surely, 2201893910016 is an apocalyptic number.

It is an amenable number.

201893910016 is an abundant number, since it is smaller than the sum of its proper divisors (222730843064).

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

201893910016 is an equidigital number, since it uses as much as digits as its factorization.

201893910016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20753934 (or 20753918 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The spelling of 201893910016 in words is "two hundred one billion, eight hundred ninety-three million, nine hundred ten thousand, sixteen".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1216 2432 4864 9728 20753897 41507794 83015588 166031176 332062352 394324043 664124704 788648086 1328249408 1577296172 2656498816 3154592344 5312997632 6309184688 10625995264 12618369376 25236738752 50473477504 100946955008 201893910016