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2011993620 = 22357133111887
BaseRepresentation
bin111011111101100…
…1001011000010100
312012012220212101020
41313323021120110
513110032243440
6531352001140
7100600443420
oct16773113024
95165825336
102011993620
1194279964a
124819901b0
13260ab6490
141512dbb80
15bb9813d0
hex77ec9614

2011993620 has 192 divisors, whose sum is σ = 7157907456. Its totient is φ = 410780160.

The previous prime is 2011993603. The next prime is 2011993649. The reversal of 2011993620 is 263991102.

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, 163317 + ... + 175203.

It is an arithmetic number, because the mean of its divisors is an integer number (37280768).

Almost surely, 22011993620 is an apocalyptic number.

2011993620 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 2011993620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578953728).

2011993620 is an abundant number, since it is smaller than the sum of its proper divisors (5145913836).

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

2011993620 is a wasteful number, since it uses less digits than its factorization.

2011993620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11950 (or 11948 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 2011993620 is about 44855.2518664203. The cubic root of 2011993620 is about 1262.4345346573.

The spelling of 2011993620 in words is "two billion, eleven million, nine hundred ninety-three thousand, six hundred twenty".