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27424278960 = 243513217311283
BaseRepresentation
bin11001100010100111…
…010100100110110000
32121210020121201100120
4121202213110212300
5422131103411320
620333141250240
71660412345031
oct314247244660
977706551316
1027424278960
11106a3321761
125394403980
132780873100
141482326a88
15aa7942440
hex6629d49b0

27424278960 has 480 divisors, whose sum is σ = 100695840768. Its totient is φ = 6143754240.

The previous prime is 27424278883. The next prime is 27424278979. The reversal of 27424278960 is 6987242472.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21374479 + ... + 21375761.

Almost surely, 227424278960 is an apocalyptic number.

27424278960 is a gapful number since it is divisible by the number (20) 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 27424278960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50347920384).

27424278960 is an abundant number, since it is smaller than the sum of its proper divisors (73271561808).

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

27424278960 is a wasteful number, since it uses less digits than its factorization.

27424278960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 27424278960 in words is "twenty-seven billion, four hundred twenty-four million, two hundred seventy-eight thousand, nine hundred sixty".