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536543879040 = 27335133764553
BaseRepresentation
bin1111100111011001000…
…00011101111110000000
31220021220122222010002000
413303230200131332000
532242320213112130
61050252421224000
753523025502631
oct7635440357600
91807818863060
10536543879040
11197602039724
1287b9b562000
133b799188040
141bd7c7b5888
15de53ec9260
hex7cec81df80

536543879040 has 512 divisors, whose sum is σ = 2101774953600. Its totient is φ = 128500826112.

The previous prime is 536543878883. The next prime is 536543879041. The reversal of 536543879040 is 40978345635.

536543879040 is a `hidden beast` number, since 5 + 3 + 6 + 543 + 8 + 7 + 90 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536543879041) 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, 8279404 + ... + 8343956.

Almost surely, 2536543879040 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 536543879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050887476800).

536543879040 is an abundant number, since it is smaller than the sum of its proper divisors (1565231074560).

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

536543879040 is a wasteful number, since it uses less digits than its factorization.

536543879040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64631 (or 64613 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 536543879040 in words is "five hundred thirty-six billion, five hundred forty-three million, eight hundred seventy-nine thousand, forty".