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53761978368 = 21234723307
BaseRepresentation
bin110010000100011101…
…101011000000000000
312010202202122110210000
4302010131223000000
51340101031301433
640410425440000
73612162163500
oct620435530000
9163682573700
1053761978368
112088926508a
12a504940000
1350ba283c27
142860205a00
1515e9ca0113
hexc8476b000

53761978368 has 390 divisors, whose sum is σ = 186879925716. Its totient is φ = 15355920384.

The previous prime is 53761978363. The next prime is 53761978379. The reversal of 53761978368 is 86387916735.

53761978368 is a `hidden beast` number, since 5 + 3 + 7 + 619 + 7 + 8 + 3 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (63) 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 (63).

It is not an unprimeable number, because it can be changed into a prime (53761978363) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16255371 + ... + 16258677.

Almost surely, 253761978368 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 53761978368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93439962858).

53761978368 is an abundant number, since it is smaller than the sum of its proper divisors (133117947348).

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

53761978368 is an equidigital number, since it uses as much as digits as its factorization.

53761978368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3357 (or 3319 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 53761978368 in words is "fifty-three billion, seven hundred sixty-one million, nine hundred seventy-eight thousand, three hundred sixty-eight".