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2470438870272 = 2835232411831
BaseRepresentation
bin100011111100110001101…
…000011001110100000000
322202011122010120120200000
4203330301220121310000
5310433424322322042
65130523130400000
7343324530631632
oct43746150316400
98664563516600
102470438870272
11872786379a5a
1233a954b90000
1314bc6621abb9
14877d9a6aa52
15443dd7c774c
hex23f31a19d00

2470438870272 has 648 divisors, whose sum is σ = 7914476152128. Its totient is φ = 768044851200.

The previous prime is 2470438870223. The next prime is 2470438870349. The reversal of 2470438870272 is 2720788340742.

2470438870272 is a `hidden beast` number, since 2 + 4 + 70 + 438 + 8 + 70 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×24704388702722 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1349228397 + ... + 1349230227.

Almost surely, 22470438870272 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 2470438870272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3957238076064).

2470438870272 is an abundant number, since it is smaller than the sum of its proper divisors (5444037281856).

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

2470438870272 is an equidigital number, since it uses as much as digits as its factorization.

2470438870272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 54.

The spelling of 2470438870272 in words is "two trillion, four hundred seventy billion, four hundred thirty-eight million, eight hundred seventy thousand, two hundred seventy-two".