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2094295104 = 2632112151199
BaseRepresentation
bin111110011010100…
…0110100001000000
312101221210012210100
41330311012201000
513242114420404
6543452002400
7102620133426
oct17465064100
95357705710
102094295104
119851a1a00
124a5460400
13274b71295
1415c203116
15c3cdbd39
hex7cd46840

2094295104 has 252 divisors, whose sum is σ = 6675323200. Its totient is φ = 627264000.

The previous prime is 2094295067. The next prime is 2094295109. The reversal of 2094295104 is 4015924902.

It is a super-3 number, since 3×20942951043 (a number of 29 digits) contains 333 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 (2094295109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10523997 + ... + 10524195.

Almost surely, 22094295104 is an apocalyptic number.

2094295104 is a gapful number since it is divisible by the number (24) 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 2094295104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3337661600).

2094295104 is an abundant number, since it is smaller than the sum of its proper divisors (4581028096).

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

2094295104 is a wasteful number, since it uses less digits than its factorization.

2094295104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2094295104 is about 45763.4690992717. The cubic root of 2094295104 is about 1279.4184988862.

The spelling of 2094295104 in words is "two billion, ninety-four million, two hundred ninety-five thousand, one hundred four".