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53058656448 = 263374793329
BaseRepresentation
bin110001011010100010…
…101101100011000000
312001221202020000111000
4301122202231203000
51332131004001243
640212543052000
73555562065330
oct613242554300
9161852200430
1053058656448
11205582569a6
12a3492a1000
135007650805
1427d4a450c0
1515a81735d3
hexc5a8ad8c0

53058656448 has 224 divisors, whose sum is σ = 182060697600. Its totient is φ = 14836912128.

The previous prime is 53058656437. The next prime is 53058656471. The reversal of 53058656448 is 84465685035.

53058656448 is a `hidden beast` number, since 5 + 3 + 0 + 586 + 56 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 53058656394 and 53058656403.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 521848 + ... + 615176.

Almost surely, 253058656448 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 53058656448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91030348800).

53058656448 is an abundant number, since it is smaller than the sum of its proper divisors (129002041152).

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

53058656448 is a wasteful number, since it uses less digits than its factorization.

53058656448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93404 (or 93388 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 53058656448 in words is "fifty-three billion, fifty-eight million, six hundred fifty-six thousand, four hundred forty-eight".