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2011097088 = 2113271113109
BaseRepresentation
bin111011111011110…
…1110100000000000
312012011020022120100
41313313232200000
513104320101323
6531320442400
7100560020550
oct16767564000
95164208510
102011097088
11942237010
12481619400
132608613a0
14151147160
15bb855943
hex77dee800

2011097088 has 576 divisors, whose sum is σ = 7870262400. Its totient is φ = 477757440.

The previous prime is 2011097087. The next prime is 2011097111. The reversal of 2011097088 is 8807901102.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×20110970882 = 8089022994724159488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2011097087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18450378 + ... + 18450486.

It is an arithmetic number, because the mean of its divisors is an integer number (13663650).

Almost surely, 22011097088 is an apocalyptic number.

2011097088 is a gapful number since it is divisible by the number (28) 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 2011097088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3935131200).

2011097088 is an abundant number, since it is smaller than the sum of its proper divisors (5859165312).

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

2011097088 is a wasteful number, since it uses less digits than its factorization.

2011097088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 2011097088 is about 44845.2571405271. The cubic root of 2011097088 is about 1262.2469957741.

The spelling of 2011097088 in words is "two billion, eleven million, ninety-seven thousand, eighty-eight".