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536810720040 = 23345731763513
BaseRepresentation
bin1111100111111000110…
…10011000101100101000
31220022121021002001010000
413303330122120230220
532243342021020130
61050335112423000
753532445556010
oct7637432305450
91808537061100
10536810720040
11197729725281
12880549a7a60
133b80c54601a
141bda5dd6c40
15de6c638260
hex7cfc698b28

536810720040 has 320 divisors, whose sum is σ = 2128554869760. Its totient is φ = 118741386240.

The previous prime is 536810720027. The next prime is 536810720041. The reversal of 536810720040 is 40027018635.

536810720040 is a `hidden beast` number, since 536 + 8 + 10 + 72 + 0 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 536810719977 and 536810720004.

It is not an unprimeable number, because it can be changed into a prime (536810720041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 321324 + ... + 1084836.

It is an arithmetic number, because the mean of its divisors is an integer number (6651733968).

Almost surely, 2536810720040 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 536810720040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064277434880).

536810720040 is an abundant number, since it is smaller than the sum of its proper divisors (1591744149720).

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

536810720040 is a wasteful number, since it uses less digits than its factorization.

536810720040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763574 (or 763561 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 536810720040 its reverse (40027018635), we get a palindrome (576837738675).

The spelling of 536810720040 in words is "five hundred thirty-six billion, eight hundred ten million, seven hundred twenty thousand, forty".