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213274591488 = 28357539241
BaseRepresentation
bin1100011010100000101…
…0000000000100000000
3202101111110202210200000
43012220022000010000
511443241243411423
6241551010400000
721260100054630
oct3065012000400
9671443683600
10213274591488
11824a3a46272
1235401290000
131715b56383a
14a4730c86c0
155833a66843
hex31a8280100

213274591488 has 432 divisors, whose sum is σ = 742629154176. Its totient is φ = 59779399680.

The previous prime is 213274591483. The next prime is 213274591583. The reversal of 213274591488 is 884195472312.

213274591488 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 7 + 4 + 591 + 48 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 (213274591483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23074548 + ... + 23083788.

It is an arithmetic number, because the mean of its divisors is an integer number (1719048968).

Almost surely, 2213274591488 is an apocalyptic number.

213274591488 is a gapful number since it is divisible by the number (28) 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 213274591488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371314577088).

213274591488 is an abundant number, since it is smaller than the sum of its proper divisors (529354562688).

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

213274591488 is an frugal number, since it uses more digits than its factorization.

213274591488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9332 (or 9306 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 213274591488 in words is "two hundred thirteen billion, two hundred seventy-four million, five hundred ninety-one thousand, four hundred eighty-eight".