Search a number
-
+
52803540025632 = 2535116718614951
BaseRepresentation
bin11000000000110010010000…
…01111110000000100100000
320220221222011111022210100000
430000121020033300010200
523410113122221310012
6304145340021500000
714056633642433514
oct1400311017600440
9226858144283300
1052803540025632
1115908945839290
125b0981a871600
132360477475726
14d079c263a144
1561881bae5ddc
hex3006483f0120

52803540025632 has 576 divisors, whose sum is σ = 172541037247488. Its totient is φ = 15750599040000.

The previous prime is 52803540025619. The next prime is 52803540025703. The reversal of 52803540025632 is 23652004530825.

52803540025632 is a `hidden beast` number, since 5 + 2 + 8 + 0 + 3 + 5 + 4 + 0 + 0 + 2 + 5 + 632 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10665224757 + ... + 10665229707.

It is an arithmetic number, because the mean of its divisors is an integer number (299550411888).

Almost surely, 252803540025632 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 52803540025632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86270518623744).

52803540025632 is an abundant number, since it is smaller than the sum of its proper divisors (119737497221856).

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

52803540025632 is a wasteful number, since it uses less digits than its factorization.

52803540025632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6915 (or 6895 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 52803540025632 in words is "fifty-two trillion, eight hundred three billion, five hundred forty million, twenty-five thousand, six hundred thirty-two".