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427751268140 = 2257199227239283
BaseRepresentation
bin1100011100101111111…
…01100101111100101100
31111220002201110212011202
412032113331211330230
524002013311040030
6524301202105032
742622034534210
oct6162775457454
91456081425152
10427751268140
11155454491949
126aa9904b178
133144bb6b971
14169bbac6940
15b1d7dcb745
hex6397f65f2c

427751268140 has 192 divisors, whose sum is σ = 1044320256000. Its totient is φ = 144158724864.

The previous prime is 427751268101. The next prime is 427751268143. The reversal of 427751268140 is 41862157724.

It is a super-2 number, since 2×4277512681402 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (427751268143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1511488439 + ... + 1511488721.

It is an arithmetic number, because the mean of its divisors is an integer number (5439168000).

Almost surely, 2427751268140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427751268140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522160128000).

427751268140 is an abundant number, since it is smaller than the sum of its proper divisors (616568987860).

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

427751268140 is a wasteful number, since it uses less digits than its factorization.

427751268140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 47.

The spelling of 427751268140 in words is "four hundred twenty-seven billion, seven hundred fifty-one million, two hundred sixty-eight thousand, one hundred forty".