Search a number
-
+
53906119488 = 2634132333433
BaseRepresentation
bin110010001101000011…
…100001101101000000
312011010210212121020000
4302031003201231000
51340344431310423
640433015120000
73615562312134
oct621503415500
9164123777200
1053906119488
1120952665481
12a545073000
1351110b1130
1428754073c4
151607773843
hexc8d0e1b40

53906119488 has 280 divisors, whose sum is σ = 172875430728. Its totient is φ = 16510500864.

The previous prime is 53906119483. The next prime is 53906119507. The reversal of 53906119488 is 88491160935.

53906119488 is a `hidden beast` number, since 5 + 3 + 90 + 61 + 19 + 488 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 122943744 + 53783175744 = 11088^2 + 231912^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53906119481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15700620 + ... + 15704052.

Almost surely, 253906119488 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 53906119488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86437715364).

53906119488 is an abundant number, since it is smaller than the sum of its proper divisors (118969311240).

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

53906119488 is a wasteful number, since it uses less digits than its factorization.

53906119488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3703 (or 3684 counting only the distinct ones).

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

The spelling of 53906119488 in words is "fifty-three billion, nine hundred six million, one hundred nineteen thousand, four hundred eighty-eight".