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53878256640 = 21032513531697
BaseRepresentation
bin110010001011011001…
…001111010000000000
312011001212110000120200
4302023121033100000
51340320313203030
640430142005200
73615103424265
oct621331172000
9164055400520
1053878256640
112093896472a
12a537876800
1351083a6b40
14287183326c
1516050bcd60
hexc8b64f400

53878256640 has 528 divisors, whose sum is σ = 204961328208. Its totient is φ = 13004439552.

The previous prime is 53878256639. The next prime is 53878256647. The reversal of 53878256640 is 4665287835.

53878256640 is a `hidden beast` number, since 5 + 3 + 8 + 78 + 2 + 566 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1103302656 + 52774953984 = 33216^2 + 229728^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53878256647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31748272 + ... + 31749968.

Almost surely, 253878256640 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 53878256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102480664104).

53878256640 is an abundant number, since it is smaller than the sum of its proper divisors (151083071568).

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

53878256640 is a wasteful number, since it uses less digits than its factorization.

53878256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 53878256640 in words is "fifty-three billion, eight hundred seventy-eight million, two hundred fifty-six thousand, six hundred forty".