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52871120640 = 283251317191093
BaseRepresentation
bin110001001111010111…
…010100011100000000
312001110200100012201100
4301033113110130000
51331240001330030
640142203334400
73551124052602
oct611727243400
9161420305640
1052871120640
1120471407528
12a2b6521400
134ca783b890
1427b7b89172
15159697c360
hexc4f5d4700

52871120640 has 864 divisors, whose sum is σ = 219767446080. Its totient is φ = 11593580544.

The previous prime is 52871120611. The next prime is 52871120647. The reversal of 52871120640 is 4602117825.

52871120640 is a `hidden beast` number, since 5 + 2 + 8 + 7 + 1 + 1 + 2 + 0 + 640 = 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 = 52871120595 and 52871120604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52871120647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48371934 + ... + 48373026.

It is an arithmetic number, because the mean of its divisors is an integer number (254360470).

Almost surely, 252871120640 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 52871120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109883723040).

52871120640 is an abundant number, since it is smaller than the sum of its proper divisors (166896325440).

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

52871120640 is a wasteful number, since it uses less digits than its factorization.

52871120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 52871120640 in words is "fifty-two billion, eight hundred seventy-one million, one hundred twenty thousand, six hundred forty".