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53666726400 = 2932527611091
BaseRepresentation
bin110001111110110010…
…010100001000000000
312010112010102011122100
4301332302110020000
51334402140221100
640353144110400
73606624435120
oct617662241000
9163463364570
1053666726400
112083a516951
12a498a65400
1350a3613611
1428516ccc80
1515e1737400
hexc7ec94200

53666726400 has 720 divisors, whose sum is σ = 223298083008. Its totient is φ = 12054528000.

The previous prime is 53666726363. The next prime is 53666726453. The reversal of 53666726400 is 462766635.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49189855 + ... + 49190945.

Almost surely, 253666726400 is an apocalyptic number.

53666726400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53666726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111649041504).

53666726400 is an abundant number, since it is smaller than the sum of its proper divisors (169631356608).

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

53666726400 is a wasteful number, since it uses less digits than its factorization.

53666726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 53666726400 in words is "fifty-three billion, six hundred sixty-six million, seven hundred twenty-six thousand, four hundred".