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2478972312 = 233234430171
BaseRepresentation
bin1001001111000010…
…0001110110011000
320101202121211201100
42103300201312120
520034104103222
61045552551400
7115300626345
oct22360416630
96352554640
102478972312
111062351653
12592252560
1330677932b
141973397cc
15e79754ac
hex93c21d98

2478972312 has 24 divisors (see below), whose sum is σ = 6713883540. Its totient is φ = 826324080.

The previous prime is 2478972311. The next prime is 2478972347. The reversal of 2478972312 is 2132798742.

2478972312 is a `hidden beast` number, since 247 + 8 + 97 + 2 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×24789723123 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2478972311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17215014 + ... + 17215157.

Almost surely, 22478972312 is an apocalyptic number.

It is an amenable number.

2478972312 is an abundant number, since it is smaller than the sum of its proper divisors (4234911228).

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

2478972312 is a wasteful number, since it uses less digits than its factorization.

2478972312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34430183 (or 34430176 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 2478972312 is about 49789.2790869681. The cubic root of 2478972312 is about 1353.3928944534.

The spelling of 2478972312 in words is "two billion, four hundred seventy-eight million, nine hundred seventy-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 34430171 68860342 103290513 137720684 206581026 275441368 309871539 413162052 619743078 826324104 1239486156 2478972312