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2093285376 = 216337132
BaseRepresentation
bin111110011000101…
…0000000000000000
312101212212220201000
41330301100000000
513241340113001
6543414212000
7102605426550
oct17461200000
95355786630
102093285376
11984672316
124a5054000
132748a9800
1415c01d160
15c3b8ca86
hex7cc50000

2093285376 has 408 divisors, whose sum is σ = 7675517760. Its totient is φ = 552075264.

The previous prime is 2093285371. The next prime is 2093285401. The reversal of 2093285376 is 6735823902.

2093285376 is a `hidden beast` number, since 2 + 0 + 93 + 28 + 537 + 6 = 666.

It is a super-2 number, since 2×20932853762 = 8763687330750922752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2093285371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161021946 + ... + 161021958.

Almost surely, 22093285376 is an apocalyptic number.

2093285376 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 2093285376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3837758880).

2093285376 is an abundant number, since it is smaller than the sum of its proper divisors (5582232384).

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

2093285376 is an frugal number, since it uses more digits than its factorization.

2093285376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2093285376 is about 45752.4357384391. The cubic root of 2093285376 is about 1279.2128493653.

The spelling of 2093285376 in words is "two billion, ninety-three million, two hundred eighty-five thousand, three hundred seventy-six".