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21450742316536 = 23131511765977351
BaseRepresentation
bin1001110000010011000111…
…11000000011110111111000
32210221200010010002001121111
410320021203320003313320
510302422110013112121
6113342200204450104
74342523251162561
oct470114370036770
983850103061544
1021450742316536
1169202328aa815
1224a536a249934
13bc7a47694a80
145423159c9168
15272eb2b1b2e1
hex138263e03df8

21450742316536 has 64 divisors (see below), whose sum is σ = 43603879334400. Its totient is φ = 9834093360000.

The previous prime is 21450742316483. The next prime is 21450742316539. The reversal of 21450742316536 is 63561324705412.

It is a self number, because there is not a number n which added to its sum of digits gives 21450742316536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21450742316539) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277278261 + ... + 277355611.

It is an arithmetic number, because the mean of its divisors is an integer number (681310614600).

Almost surely, 221450742316536 is an apocalyptic number.

21450742316536 is a gapful number since it is divisible by the number (26) 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 21450742316536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21801939667200).

21450742316536 is an abundant number, since it is smaller than the sum of its proper divisors (22153137017864).

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

21450742316536 is a wasteful number, since it uses less digits than its factorization.

21450742316536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95180 (or 95176 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 49.

The spelling of 21450742316536 in words is "twenty-one trillion, four hundred fifty billion, seven hundred forty-two million, three hundred sixteen thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 26 52 104 151 302 604 1208 1963 3926 7852 15704 17659 35318 70636 77351 141272 154702 229567 309404 459134 618808 918268 1005563 1836536 2011126 2666509 4022252 5333018 8044504 10666036 11680001 21332072 23360002 34664617 46720004 69329234 93440008 138658468 151840013 277316936 303680026 607360052 1214720104 1365941309 2731882618 5463765236 10927530472 17757237017 35514474034 71028948068 142057896136 206257137659 412514275318 825028550636 1650057101272 2681342789567 5362685579134 10725371158268 21450742316536