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201691149660 = 22335711132316223
BaseRepresentation
bin1011101111010110111…
…0101011010101011100
3201021121012110222201000
42323311232223111130
511301030413242120
6232353341150300
720400044325330
oct2736556532534
9637535428630
10201691149660
117859a439a50
1233109b5b390
13160337ba250
149a949417c0
1553a6b7a990
hex2ef5bab55c

201691149660 has 768 divisors, whose sum is σ = 879179857920. Its totient is φ = 37001733120.

The previous prime is 201691149659. The next prime is 201691149713. The reversal of 201691149660 is 66941196102.

It is a happy number.

201691149660 is a `hidden beast` number, since 2 + 0 + 16 + 91 + 1 + 496 + 60 = 666.

201691149660 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12424309 + ... + 12440531.

It is an arithmetic number, because the mean of its divisors is an integer number (1144765440).

Almost surely, 2201691149660 is an apocalyptic number.

201691149660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201691149660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439589928960).

201691149660 is an abundant number, since it is smaller than the sum of its proper divisors (677488708260).

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

201691149660 is a wasteful number, since it uses less digits than its factorization.

201691149660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16295 (or 16287 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 201691149660 in words is "two hundred one billion, six hundred ninety-one million, one hundred forty-nine thousand, six hundred sixty".