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427247279189280 = 25325114143127179673
BaseRepresentation
bin110000100100101000100001…
…0010011101010110100100000
32002000202102220111002221122200
41201021101002103222310200
5422000004411433024110
64112402405045533200
7155664411603444444
oct14111210223526440
92060672814087580
10427247279189280
1111415260a874920
123bb03475414200
1315452326627104
147770c43020824
15345da376d66c0
hex18494424ead20

427247279189280 has 2304 divisors, whose sum is σ = 1692235246141440. Its totient is φ = 97230009139200.

The previous prime is 427247279189221. The next prime is 427247279189303. The reversal of 427247279189280 is 82981972742724.

427247279189280 is a `hidden beast` number, since 4 + 2 + 7 + 2 + 472 + 79 + 1 + 8 + 9 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 427247279189199 and 427247279189208.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 634839939024 + ... + 634839939696.

It is an arithmetic number, because the mean of its divisors is an integer number (734477103360).

Almost surely, 2427247279189280 is an apocalyptic number.

427247279189280 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 427247279189280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846117623070720).

427247279189280 is an abundant number, since it is smaller than the sum of its proper divisors (1264987966952160).

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

427247279189280 is a wasteful number, since it uses less digits than its factorization.

427247279189280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 72.

The spelling of 427247279189280 in words is "four hundred twenty-seven trillion, two hundred forty-seven billion, two hundred seventy-nine million, one hundred eighty-nine thousand, two hundred eighty".