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53102739456 = 215381319
BaseRepresentation
bin110001011101001010…
…111000000000000000
312002001211011200000000
4301131022320000000
51332223300130311
640221200000000
73556635560244
oct613512700000
9162054150000
1053102739456
1120580126138
12a360000000
135013816930
1427da83c424
1515abe80056
hexc5d2b8000

53102739456 has 576 divisors, whose sum is σ = 180580381800. Its totient is φ = 15479341056.

The previous prime is 53102739427. The next prime is 53102739499. The reversal of 53102739456 is 65493720135.

53102739456 is a `hidden beast` number, since 531 + 0 + 2 + 73 + 9 + 45 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×531027394563 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2794881015 + ... + 2794881033.

Almost surely, 253102739456 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 53102739456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90290190900).

53102739456 is an abundant number, since it is smaller than the sum of its proper divisors (127477642344).

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

53102739456 is an frugal number, since it uses more digits than its factorization.

53102739456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 53102739456 in words is "fifty-three billion, one hundred two million, seven hundred thirty-nine thousand, four hundred fifty-six".