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42543552640 = 2751723197863
BaseRepresentation
bin100111100111110010…
…110001100010000000
311001210221012101202211
4213213302301202000
51144112122141030
631313315551504
73034161142111
oct474762614200
9131727171684
1042543552640
11170517a9866
1282b38bb594
1340200205b4
1420b8318208
15118ee6712a
hex9e7cb1880

42543552640 has 256 divisors, whose sum is σ = 113071749120. Its totient is φ = 15224602624.

The previous prime is 42543552619. The next prime is 42543552659. The reversal of 42543552640 is 4625534524.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 42543552593 and 42543552602.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49296849 + ... + 49297711.

It is an arithmetic number, because the mean of its divisors is an integer number (441686520).

Almost surely, 242543552640 is an apocalyptic number.

42543552640 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 42543552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56535874560).

42543552640 is an abundant number, since it is smaller than the sum of its proper divisors (70528196480).

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

42543552640 is a wasteful number, since it uses less digits than its factorization.

42543552640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 40.

The spelling of 42543552640 in words is "forty-two billion, five hundred forty-three million, five hundred fifty-two thousand, six hundred forty".