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1242116809560 = 23335111723311093
BaseRepresentation
bin10010000100110011111…
…011100110001101011000
311101202010020220201022000
4102010303323212031120
5130322323400401220
62350342014001000
7155511545451204
oct22046373461530
94352106821260
101242116809560
11439862614520
121808924a6160
13901920922b3
1444193cb9b04
152249c45a390
hex12133ee6358

1242116809560 has 768 divisors, whose sum is σ = 4817009779200. Its totient is φ = 282291609600.

The previous prime is 1242116809519. The next prime is 1242116809573. The reversal of 1242116809560 is 659086112421.

1242116809560 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 1 + 1 + 6 + 80 + 9 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1136428374 + ... + 1136429466.

It is an arithmetic number, because the mean of its divisors is an integer number (6272148150).

Almost surely, 21242116809560 is an apocalyptic number.

1242116809560 is a gapful number since it is divisible by the number (10) 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 1242116809560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408504889600).

1242116809560 is an abundant number, since it is smaller than the sum of its proper divisors (3574892969640).

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

1242116809560 is a wasteful number, since it uses less digits than its factorization.

1242116809560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1242116809560 in words is "one trillion, two hundred forty-two billion, one hundred sixteen million, eight hundred nine thousand, five hundred sixty".