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2127093696 = 2637713167
BaseRepresentation
bin111111011001000…
…1101111111000000
312111020111120000000
41332302031333000
513324013444241
6551023000000
7103465666230
oct17662157700
95436446000
102127093696
119a1763a82
124b4439000
1327b8b6030
141626ddcc0
15c6b19eb6
hex7ec8dfc0

2127093696 has 448 divisors, whose sum is σ = 7837992960. Its totient is φ = 557632512.

The previous prime is 2127093641. The next prime is 2127093701. The reversal of 2127093696 is 6963907212.

It is a happy number.

2127093696 is a `hidden beast` number, since 212 + 70 + 9 + 369 + 6 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12737005 + ... + 12737171.

It is an arithmetic number, because the mean of its divisors is an integer number (17495520).

Almost surely, 22127093696 is an apocalyptic number.

2127093696 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 2127093696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3918996480).

2127093696 is an abundant number, since it is smaller than the sum of its proper divisors (5710899264).

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

2127093696 is an equidigital number, since it uses as much as digits as its factorization.

2127093696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 2127093696 is about 46120.4260171131. The cubic root of 2127093696 is about 1286.0628906146.

The spelling of 2127093696 in words is "two billion, one hundred twenty-seven million, ninety-three thousand, six hundred ninety-six".