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2742206544 = 2432711222483
BaseRepresentation
bin1010001101110010…
…1100000001010000
321002002221112012100
42203130230001100
521104001102134
61132035000400
7124645241160
oct24334540120
97062845170
102742206544
1111879a4400
12646439100
1334917372c
141c029c5a0
15110b20999
hexa372c050

2742206544 has 180 divisors, whose sum is σ = 9640959328. Its totient is φ = 712229760.

The previous prime is 2742206531. The next prime is 2742206569. The reversal of 2742206544 is 4456022472.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2742206499 and 2742206508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 110727 + ... + 133209.

Almost surely, 22742206544 is an apocalyptic number.

2742206544 is a gapful number since it is divisible by the number (24) 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 2742206544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4820479664).

2742206544 is an abundant number, since it is smaller than the sum of its proper divisors (6898752784).

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

2742206544 is a wasteful number, since it uses less digits than its factorization.

2742206544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22526 (or 22506 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 2742206544 is about 52366.0819997066. The cubic root of 2742206544 is about 1399.6949240015.

The spelling of 2742206544 in words is "two billion, seven hundred forty-two million, two hundred six thousand, five hundred forty-four".