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53963256240 = 2434514815623
BaseRepresentation
bin110010010000011101…
…011111000110110000
312011021210101110010000
4302100131133012300
51341004043144430
640442415510000
73620155052445
oct622035370660
9164253343100
1053963256240
1120981940133
12a560228300
13511cb97a6a
14287cc3b9cc
15160c7ace60
hexc9075f1b0

53963256240 has 200 divisors, whose sum is σ = 187582288608. Its totient is φ = 14377927680.

The previous prime is 53963256209. The next prime is 53963256331. The reversal of 53963256240 is 4265236935.

53963256240 is a `hidden beast` number, since 5 + 3 + 9 + 632 + 5 + 6 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9594069 + ... + 9599691.

Almost surely, 253963256240 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 53963256240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93791144304).

53963256240 is an abundant number, since it is smaller than the sum of its proper divisors (133619032368).

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

53963256240 is a wasteful number, since it uses less digits than its factorization.

53963256240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7129 (or 7114 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

It can be divided in two parts, 5396 and 3256240, that added together give a square (3261636 = 18062).

The spelling of 53963256240 in words is "fifty-three billion, nine hundred sixty-three million, two hundred fifty-six thousand, two hundred forty".