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1427606127360 = 28325731737823
BaseRepresentation
bin10100110001100011111…
…101001100001100000000
312001110220022210100221100
4110301203331030030000
5141342214132033420
63011455545454400
7205066260602250
oct24614375141400
95043808710840
101427606127360
11500498494386
121b081a4a1400
13a481304a28a
144d14cb4b960
1527206a23190
hex14c63f4c300

1427606127360 has 864 divisors, whose sum is σ = 5907667304448. Its totient is φ = 311418224640.

The previous prime is 1427606127317. The next prime is 1427606127439. The reversal of 1427606127360 is 637216067241.

1427606127360 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 606 + 1 + 2 + 7 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 182484409 + ... + 182492231.

Almost surely, 21427606127360 is an apocalyptic number.

1427606127360 is a gapful number since it is divisible by the number (10) 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 1427606127360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953833652224).

1427606127360 is an abundant number, since it is smaller than the sum of its proper divisors (4480061177088).

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

1427606127360 is a wasteful number, since it uses less digits than its factorization.

1427606127360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7961 (or 7944 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

It can be divided in two parts, 1427606 and 127360, that added together give a triangular number (1554966 = T1763).

The spelling of 1427606127360 in words is "one trillion, four hundred twenty-seven billion, six hundred six million, one hundred twenty-seven thousand, three hundred sixty".