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201396939624 = 233329673111543
BaseRepresentation
bin1011101110010000110…
…0010110101101101000
3201020211200212120102000
42323210030112231220
511244430104031444
6232304231211000
720356542512166
oct2734414265550
9636750776360
10201396939624
117845935a661
1233047516a60
1315cb786897a
149a67838236
15538ae12469
hex2ee4316b68

201396939624 has 256 divisors, whose sum is σ = 589635072000. Its totient is φ = 63603429120.

The previous prime is 201396939607. The next prime is 201396939629. The reversal of 201396939624 is 426939693102.

201396939624 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 9 + 6 + 9 + 3 + 9 + 624 = 666.

201396939624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2013969396242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (201396939629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130522197 + ... + 130523739.

It is an arithmetic number, because the mean of its divisors is an integer number (2303262000).

Almost surely, 2201396939624 is an apocalyptic number.

201396939624 is a gapful number since it is divisible by the number (24) 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 201396939624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294817536000).

201396939624 is an abundant number, since it is smaller than the sum of its proper divisors (388238132376).

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

201396939624 is a wasteful number, since it uses less digits than its factorization.

201396939624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 201396939624 in words is "two hundred one billion, three hundred ninety-six million, nine hundred thirty-nine thousand, six hundred twenty-four".