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21337617540 = 22351013521059
BaseRepresentation
bin10011110111110100…
…100011010010000100
32001002001111021120010
4103313310203102010
5322144412230130
613445151110220
71353523520331
oct236764432204
961061437503
1021337617540
11905a58a968
124175b12370
132020853bc5
141065bd9988
1584d3dc0b0
hex4f7d23484

21337617540 has 48 divisors (see below), whose sum is σ = 60336884160. Its totient is φ = 5633692800.

The previous prime is 21337617529. The next prime is 21337617547. The reversal of 21337617540 is 4571673312.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (21337617547) 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 15 ways as a sum of consecutive naturals, for example, 1754470 + ... + 1766589.

It is an arithmetic number, because the mean of its divisors is an integer number (1257018420).

Almost surely, 221337617540 is an apocalyptic number.

21337617540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21337617540 is an abundant number, since it is smaller than the sum of its proper divisors (38999266620).

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

21337617540 is a wasteful number, since it uses less digits than its factorization.

21337617540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521172 (or 3521170 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The spelling of 21337617540 in words is "twenty-one billion, three hundred thirty-seven million, six hundred seventeen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 6060 3521059 7042118 10563177 14084236 17605295 21126354 35210590 42252708 52815885 70421180 105631770 211263540 355626959 711253918 1066880877 1422507836 1778134795 2133761754 3556269590 4267523508 5334404385 7112539180 10668808770 21337617540