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53463804288 = 273173161271
BaseRepresentation
bin110001110010101100…
…001110100110000000
312002222222120122211120
4301302230032212000
51333443213214123
640321054512240
73601611560346
oct616254164600
9162888518746
1053463804288
1120745a18524
12a440b05680
13507057526b
142832789996
1515cda022e3
hexc72b0e980

53463804288 has 384 divisors, whose sum is σ = 160026347520. Its totient is φ = 15740928000.

The previous prime is 53463804259. The next prime is 53463804323. The reversal of 53463804288 is 88240836435.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 53463804288.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 753011293 + ... + 753011363.

It is an arithmetic number, because the mean of its divisors is an integer number (416735280).

Almost surely, 253463804288 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 53463804288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80013173760).

53463804288 is an abundant number, since it is smaller than the sum of its proper divisors (106562543232).

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

53463804288 is a wasteful number, since it uses less digits than its factorization.

53463804288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 53463804288 in words is "fifty-three billion, four hundred sixty-three million, eight hundred four thousand, two hundred eighty-eight".