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2119714537920 = 263573189114329
BaseRepresentation
bin11110110110001000110…
…101010000000111000000
321111122100112212111002220
4132312020311100013000
5234212133410203140
64301441115011040
7306100334200350
oct36661065200700
97448315774086
102119714537920
11747a69661031
122a2994139a80
13124b71570b65
1474847d28b60
153a212d96bd0
hex1ed88d501c0

2119714537920 has 448 divisors, whose sum is σ = 8028929433600. Its totient is φ = 463604613120.

The previous prime is 2119714537909. The next prime is 2119714537933. The reversal of 2119714537920 is 297354179112.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 18483316 + ... + 18597644.

Almost surely, 22119714537920 is an apocalyptic number.

2119714537920 is a gapful number since it is divisible by the number (20) 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 2119714537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4014464716800).

2119714537920 is an abundant number, since it is smaller than the sum of its proper divisors (5909214895680).

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

2119714537920 is a wasteful number, since it uses less digits than its factorization.

2119714537920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114476 (or 114466 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 51.

The spelling of 2119714537920 in words is "two trillion, one hundred nineteen billion, seven hundred fourteen million, five hundred thirty-seven thousand, nine hundred twenty".