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52577226240 = 2935711671327
BaseRepresentation
bin110000111101110110…
…001100111000000000
312000201012022211101120
4300331312030320000
51330134232214430
640053104232240
73540625022610
oct607566147000
9160635284346
1052577226240
11203305232a0
12a23400b680
134c5b99ab76
14278ab24a40
15157ac77610
hexc3dd8ce00

52577226240 has 640 divisors, whose sum is σ = 212845805568. Its totient is φ = 10753966080.

The previous prime is 52577226217. The next prime is 52577226277. The reversal of 52577226240 is 4262277525.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 52577226192 and 52577226201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39620457 + ... + 39621783.

Almost surely, 252577226240 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 52577226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106422902784).

52577226240 is an abundant number, since it is smaller than the sum of its proper divisors (160268579328).

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

52577226240 is a wasteful number, since it uses less digits than its factorization.

52577226240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 42.

The spelling of 52577226240 in words is "fifty-two billion, five hundred seventy-seven million, two hundred twenty-six thousand, two hundred forty".