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40805608536 = 233271111036673
BaseRepresentation
bin100110000000001101…
…000010110001011000
310220022210221200122200
4212000031002301120
51132032213433121
630425033450200
72643125643510
oct460015026130
9126283850580
1040805608536
111633a77a720
127aa9870960
133b03c4a1c4
141d91596840
1510dc5baa26
hex980342c58

40805608536 has 192 divisors, whose sum is σ = 137930757120. Its totient is φ = 10587663360.

The previous prime is 40805608507. The next prime is 40805608541. The reversal of 40805608536 is 63580650804.

40805608536 is a `hidden beast` number, since 4 + 0 + 8 + 0 + 5 + 608 + 5 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40805608491 and 40805608500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6111696 + ... + 6118368.

It is an arithmetic number, because the mean of its divisors is an integer number (718389360).

Almost surely, 240805608536 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 40805608536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68965378560).

40805608536 is an abundant number, since it is smaller than the sum of its proper divisors (97125148584).

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

40805608536 is a wasteful number, since it uses less digits than its factorization.

40805608536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7806 (or 7799 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 40805608536 in words is "forty billion, eight hundred five million, six hundred eight thousand, five hundred thirty-six".