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4542568268040 = 233251117631106937
BaseRepresentation
bin100001000011010011000…
…1010110000000100001000
3121002021011101121111002200
41002012212022300010020
51043411134434034130
613354454351000200
7646122035123265
oct102064612600410
917067141544080
104542568268040
1114a15463a9980
12614468b09060
1326c49310b59a
14119c0bc7226c
157d268cd8760
hex421a62b0108

4542568268040 has 384 divisors, whose sum is σ = 17080034699520. Its totient is φ = 1034798284800.

The previous prime is 4542568268039. The next prime is 4542568268083. The reversal of 4542568268040 is 408628652454.

4542568268040 is a `hidden beast` number, since 4 + 54 + 2 + 568 + 26 + 8 + 0 + 4 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42425452 + ... + 42532388.

It is an arithmetic number, because the mean of its divisors is an integer number (44479257030).

Almost surely, 24542568268040 is an apocalyptic number.

4542568268040 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 4542568268040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8540017349760).

4542568268040 is an abundant number, since it is smaller than the sum of its proper divisors (12537466431480).

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

4542568268040 is a wasteful number, since it uses less digits than its factorization.

4542568268040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107613 (or 107606 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 4542568268040 in words is "four trillion, five hundred forty-two billion, five hundred sixty-eight million, two hundred sixty-eight thousand, forty".