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53884486656 = 2103471121359
BaseRepresentation
bin110010001011110001…
…000000010000000000
312011002022011112120000
4302023301000100000
51340323412033111
640430523320000
73615210402510
oct621361002000
9164068145500
1053884486656
112094142a400
12a539980000
135109778740
1428725b5840
1516058edc56
hexc8bc40400

53884486656 has 1320 divisors, whose sum is σ = 221372733120. Its totient is φ = 12700385280.

The previous prime is 53884486651. The next prime is 53884486681. The reversal of 53884486656 is 65668448835.

It is a happy number.

53884486656 is a `hidden beast` number, since 5 + 3 + 88 + 448 + 66 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 53884486593 and 53884486602.

It is not an unprimeable number, because it can be changed into a prime (53884486651) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 913296355 + ... + 913296413.

It is an arithmetic number, because the mean of its divisors is an integer number (167706616).

Almost surely, 253884486656 is an apocalyptic number.

53884486656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53884486656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110686366560).

53884486656 is an abundant number, since it is smaller than the sum of its proper divisors (167488246464).

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

53884486656 is a wasteful number, since it uses less digits than its factorization.

53884486656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 95 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 63.

Adding to 53884486656 its product of digits (132710400), we get a square (54017197056 = 2324162).

The spelling of 53884486656 in words is "fifty-three billion, eight hundred eighty-four million, four hundred eighty-six thousand, six hundred fifty-six".