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5641073269632 = 273431711791381
BaseRepresentation
bin101001000010110101000…
…1010110001101110000000
3201222021121002120110120000
41102011222022301232000
51214410404224112012
615555250121320000
71121361024434013
oct122055212615600
921867532513500
105641073269632
111885402886499
12771340036000
1331bc49255cc8
1415705a97937a
159bb0d3cbddc
hex5216a2b1b80

5641073269632 has 640 divisors, whose sum is σ = 17684328499200. Its totient is φ = 1782756864000.

The previous prime is 5641073269627. The next prime is 5641073269633. The reversal of 5641073269632 is 2369623701465.

5641073269632 is a `hidden beast` number, since 56 + 410 + 73 + 26 + 96 + 3 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5641073269633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4084773582 + ... + 4084774962.

It is an arithmetic number, because the mean of its divisors is an integer number (27631763280).

Almost surely, 25641073269632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5641073269632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8842164249600).

5641073269632 is an abundant number, since it is smaller than the sum of its proper divisors (12043255229568).

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

5641073269632 is a wasteful number, since it uses less digits than its factorization.

5641073269632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 5641073269632 in words is "five trillion, six hundred forty-one billion, seventy-three million, two hundred sixty-nine thousand, six hundred thirty-two".