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2076112896 = 2113111317139
BaseRepresentation
bin111101110111110…
…1111100000000000
312100200120110111020
41323233233200000
513222441103041
6542002145440
7102306445164
oct17357574000
95320513436
102076112896
11975a03390
1249b352280
13271176390
14159a2cca4
15c23e9866
hex7bbef800

2076112896 has 384 divisors, whose sum is σ = 6934636800. Its totient is φ = 542638080.

The previous prime is 2076112877. The next prime is 2076112901. The reversal of 2076112896 is 6982116702.

It is a tau number, because it is divible by the number of its divisors (384).

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 31 ways as a sum of consecutive naturals, for example, 14935995 + ... + 14936133.

It is an arithmetic number, because the mean of its divisors is an integer number (18058950).

Almost surely, 22076112896 is an apocalyptic number.

2076112896 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 2076112896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467318400).

2076112896 is an abundant number, since it is smaller than the sum of its proper divisors (4858523904).

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

2076112896 is a wasteful number, since it uses less digits than its factorization.

2076112896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 2076112896 is about 45564.3818788316. The cubic root of 2076112896 is about 1275.7051889805.

The spelling of 2076112896 in words is "two billion, seventy-six million, one hundred twelve thousand, eight hundred ninety-six".