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2137408542 = 2321117106307
BaseRepresentation
bin111111101100110…
…0100010000011110
312111221220121022100
41333121210100132
513334134033132
6552032025530
7103652446533
oct17731442036
95457817270
102137408542
119a7569745
124b79922a6
13280a87ca9
14163c26d8a
15c79a637c
hex7f66441e

2137408542 has 24 divisors (see below), whose sum is σ = 4635241416. Its totient is φ = 711824976.

The previous prime is 2137408531. The next prime is 2137408549. The reversal of 2137408542 is 2458047312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2137408497 and 2137408506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137408549) 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 11 ways as a sum of consecutive naturals, for example, 33048 + ... + 73259.

It is an arithmetic number, because the mean of its divisors is an integer number (193135059).

Almost surely, 22137408542 is an apocalyptic number.

2137408542 is an abundant number, since it is smaller than the sum of its proper divisors (2497832874).

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

2137408542 is a wasteful number, since it uses less digits than its factorization.

2137408542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107432 (or 107429 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2137408542 is about 46232.1159152380. The cubic root of 2137408542 is about 1288.1383603117.

The spelling of 2137408542 in words is "two billion, one hundred thirty-seven million, four hundred eight thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 1117 2234 3351 6702 10053 20106 106307 212614 318921 637842 956763 1913526 118744919 237489838 356234757 712469514 1068704271 2137408542