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52652822040 = 23355713219241
BaseRepresentation
bin110001000010010110…
…100100111000011000
312000220110120111100000
4301002112210320120
51330313110301130
640104404413000
73542533413540
oct610226447030
9160813514300
1052652822040
112036a166565
12a2553a7160
134c71548700
142796ba2320
15158270b260
hexc425a4e18

52652822040 has 1152 divisors, whose sum is σ = 232129497600. Its totient is φ = 10480803840.

The previous prime is 52652821993. The next prime is 52652822081. The reversal of 52652822040 is 4022825625.

52652822040 is a `hidden beast` number, since 526 + 52 + 82 + 2 + 0 + 4 + 0 = 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 = 52652821986 and 52652822004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 218476320 + ... + 218476560.

It is an arithmetic number, because the mean of its divisors is an integer number (201501300).

Almost surely, 252652822040 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 52652822040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116064748800).

52652822040 is an abundant number, since it is smaller than the sum of its proper divisors (179476675560).

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

52652822040 is a wasteful number, since it uses less digits than its factorization.

52652822040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 52652822040 in words is "fifty-two billion, six hundred fifty-two million, eight hundred twenty-two thousand, forty".