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42727474944 = 2833711431867
BaseRepresentation
bin100111110010110000…
…011000011100000000
311002021202021121202000
4213302300120130000
51200001213144234
631343450024000
73041553354540
oct476260303400
9132252247660
1042727474944
1117136600370
128345418000
13404c16886b
1420d4913320
1511a1197899
hex9f2c18700

42727474944 has 576 divisors, whose sum is σ = 161280430080. Its totient is φ = 10834145280.

The previous prime is 42727474931. The next prime is 42727474967. The reversal of 42727474944 is 44947472724.

42727474944 is a `hidden beast` number, since 42 + 72 + 7 + 47 + 494 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22884699 + ... + 22886565.

Almost surely, 242727474944 is an apocalyptic number.

42727474944 is a gapful number since it is divisible by the number (44) 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 42727474944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80640215040).

42727474944 is an abundant number, since it is smaller than the sum of its proper divisors (118552955136).

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

42727474944 is a wasteful number, since it uses less digits than its factorization.

42727474944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1933 counting only the distinct ones).

The product of its digits is 12644352, while the sum is 54.

The spelling of 42727474944 in words is "forty-two billion, seven hundred twenty-seven million, four hundred seventy-four thousand, nine hundred forty-four".