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2296030404672 = 263335310633541
BaseRepresentation
bin100001011010010110000…
…100111010000001000000
322010111110022021112122000
4201122112010322001000
5300104232240422142
64514440511544000
7324611526266244
oct41322604720100
98114408245560
102296030404672
11805817340394
12310b9bb2b000
1313868cb587b4
147d1b2714424
153ead1e2014c
hex2169613a040

2296030404672 has 224 divisors, whose sum is σ = 6777307004160. Its totient is φ = 762242088960.

The previous prime is 2296030404659. The next prime is 2296030404673. The reversal of 2296030404672 is 2764040306922.

2296030404672 is a `hidden beast` number, since 229 + 60 + 304 + 0 + 4 + 67 + 2 = 666.

It is a super-3 number, since 3×22960304046723 (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2296030404673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 648411222 + ... + 648414762.

It is an arithmetic number, because the mean of its divisors is an integer number (30255834840).

Almost surely, 22296030404672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2296030404672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388653502080).

2296030404672 is an abundant number, since it is smaller than the sum of its proper divisors (4481276599488).

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

2296030404672 is a wasteful number, since it uses less digits than its factorization.

2296030404672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4978 (or 4962 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 2296030404672 in words is "two trillion, two hundred ninety-six billion, thirty million, four hundred four thousand, six hundred seventy-two".