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420071627640 = 233572421169693
BaseRepresentation
bin1100001110011100011…
…10000101101101111000
31111011021111212200220010
412013032032011231320
523340301314041030
6520551144501520
742230523630600
oct6071616055570
91434244780803
10420071627640
11152173534315
12694b517a8a0
13307c6b045a2
141648dbb1c00
15add8ab26b0
hex61ce385b78

420071627640 has 192 divisors, whose sum is σ = 1469455011360. Its totient is φ = 95787740160.

The previous prime is 420071627623. The next prime is 420071627641. The reversal of 420071627640 is 46726170024.

420071627640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420071627641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2390634 + ... + 2560326.

Almost surely, 2420071627640 is an apocalyptic number.

420071627640 is a gapful number since it is divisible by the number (40) 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 420071627640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734727505680).

420071627640 is an abundant number, since it is smaller than the sum of its proper divisors (1049383383720).

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

420071627640 is a wasteful number, since it uses less digits than its factorization.

420071627640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170142 (or 170131 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

Adding to 420071627640 its reverse (46726170024), we get a palindrome (466797797664).

The spelling of 420071627640 in words is "four hundred twenty billion, seventy-one million, six hundred twenty-seven thousand, six hundred forty".