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427264266240 = 21232571929601
BaseRepresentation
bin1100011011110101110…
…11110101000000000000
31111211211210002121011100
412031322323311000000
524000014123004430
6524141004014400
742604002224460
oct6157273650000
91454753077140
10427264266240
111552245a3139
126a981b31400
13313a1cb7c66
1416973155ba0
15b1aa27e960
hex637aef5000

427264266240 has 1248 divisors, whose sum is σ = 1846159660800. Its totient is φ = 89181388800.

The previous prime is 427264266197. The next prime is 427264266241. The reversal of 427264266240 is 42662462724.

It is a super-3 number, since 3×4272642662403 (a number of 36 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427264266241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 710921940 + ... + 710922540.

It is an arithmetic number, because the mean of its divisors is an integer number (1479294600).

Almost surely, 2427264266240 is an apocalyptic number.

427264266240 is a gapful number since it is divisible by the number (40) 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 427264266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923079830400).

427264266240 is an abundant number, since it is smaller than the sum of its proper divisors (1418895394560).

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

427264266240 is a wasteful number, since it uses less digits than its factorization.

427264266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 427264266240 in words is "four hundred twenty-seven billion, two hundred sixty-four million, two hundred sixty-six thousand, two hundred forty".