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20615264442 = 23219132145631
BaseRepresentation
bin10011001100110000…
…111111100010111010
31222012201020221101200
4103030300333202322
5314210001430232
613245344355030
71326602566533
oct231460774272
958181227350
1020615264442
118819863333
123bb4015a76
131c36cb9336
14dd7cc368a
15809ca177c
hex4ccc3f8ba

20615264442 has 48 divisors (see below), whose sum is σ = 47053893120. Its totient is φ = 6505012800.

The previous prime is 20615264393. The next prime is 20615264443. The reversal of 20615264442 is 24446251602.

20615264442 is a `hidden beast` number, since 2 + 0 + 6 + 1 + 5 + 2 + 644 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20615264397 and 20615264406.

It is not an unprimeable number, because it can be changed into a prime (20615264443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 428967 + ... + 474597.

It is an arithmetic number, because the mean of its divisors is an integer number (980289440).

Almost surely, 220615264442 is an apocalyptic number.

20615264442 is an abundant number, since it is smaller than the sum of its proper divisors (26438628678).

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

20615264442 is a wasteful number, since it uses less digits than its factorization.

20615264442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46979 (or 46976 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 20615264442 in words is "twenty billion, six hundred fifteen million, two hundred sixty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 1321 2642 3963 7926 11889 23778 25099 45631 50198 75297 91262 136893 150594 225891 273786 410679 451782 821358 866989 1733978 2600967 5201934 7802901 15605802 60278551 120557102 180835653 361671306 542506959 1085013918 1145292469 2290584938 3435877407 6871754814 10307632221 20615264442