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53861239111680 = 214365711131753
BaseRepresentation
bin11000011111100100011000…
…00001100100000000000000
321001201002021100202111000000
430033302030001210000000
524024430304203033210
6310315302304000000
714226226500351360
oct1417621401440000
9231632240674000
1053861239111680
1116186472356560
12605a804000000
1324091295962b0
14d42c7db0a9a0
156360c3aacac0
hex30fc8c064000

53861239111680 has 6720 divisors, whose sum is σ = 280720175758848. Its totient is φ = 9539860561920.

The previous prime is 53861239111657. The next prime is 53861239111717. The reversal of 53861239111680 is 8611193216835.

53861239111680 is a `hidden beast` number, since 5 + 3 + 8 + 61 + 2 + 391 + 116 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1016249794534 + ... + 1016249794586.

Almost surely, 253861239111680 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 53861239111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140360087879424).

53861239111680 is an abundant number, since it is smaller than the sum of its proper divisors (226858936647168).

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

53861239111680 is a wasteful number, since it uses less digits than its factorization.

53861239111680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 53861239111680 in words is "fifty-three trillion, eight hundred sixty-one billion, two hundred thirty-nine million, one hundred eleven thousand, six hundred eighty".