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2134120716 = 2233721367463
BaseRepresentation
bin111111100110100…
…0001100100001100
312111201201120021000
41333031001210030
513332313330331
6551433340300
7103612504200
oct17715014414
95451646230
102134120716
119a5723532
124b6867690
132801a6630
1416360cb00
15c75570e6
hex7f34190c

2134120716 has 288 divisors, whose sum is σ = 7049978880. Its totient is φ = 553246848.

The previous prime is 2134120699. The next prime is 2134120727. The reversal of 2134120716 is 6170214312.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2134120716.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4609101 + ... + 4609563.

Almost surely, 22134120716 is an apocalyptic number.

2134120716 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 2134120716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524989440).

2134120716 is an abundant number, since it is smaller than the sum of its proper divisors (4915858164).

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

2134120716 is a wasteful number, since it uses less digits than its factorization.

2134120716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2134120716 is about 46196.5444162223. The cubic root of 2134120716 is about 1287.4775369946.

The spelling of 2134120716 in words is "two billion, one hundred thirty-four million, one hundred twenty thousand, seven hundred sixteen".