Search a number
-
+
21002246597952 = 2632711912688757
BaseRepresentation
bin1001100011001111101110…
…11100101010110101000000
32202100210110200020221011100
410301213313130222311000
510223100100112113302
6112400144321014400
74265235151365114
oct461476734526500
982323420227140
1021002246597952
11676800374a254
122432461a84400
13b94670b47979
1452872abd1744
152664b3970d1c
hex1319f772ad40

21002246597952 has 168 divisors, whose sum is σ = 61366663867392. Its totient is φ = 6866007321600.

The previous prime is 21002246597933. The next prime is 21002246597953. The reversal of 21002246597952 is 25979564220012.

21002246597952 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 2 + 2 + 46 + 597 + 9 + 5 + 2 = 666.

It is a super-2 number, since 2×210022465979522 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21002246597953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6466758 + ... + 9155514.

Almost surely, 221002246597952 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 21002246597952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30683331933696).

21002246597952 is an abundant number, since it is smaller than the sum of its proper divisors (40364417269440).

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

21002246597952 is a wasteful number, since it uses less digits than its factorization.

21002246597952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689037 (or 2689024 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 21002246597952 in words is "twenty-one trillion, two billion, two hundred forty-six million, five hundred ninety-seven thousand, nine hundred fifty-two".