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53746237440 = 215325741127
BaseRepresentation
bin110010000011100001…
…101000000000000000
312010201200000202021200
4302003201220000000
51340033014044230
640405104221200
73611611323540
oct620341500000
9163650022250
1053746237440
1120880393755
12a4bb60a800
1350b6c3227c
14285c0a9320
1515e86e1160
hexc83868000

53746237440 has 768 divisors, whose sum is σ = 219845283840. Its totient is φ = 11890851840.

The previous prime is 53746237429. The next prime is 53746237471. The reversal of 53746237440 is 4473264735.

53746237440 is a `hidden beast` number, since 5 + 374 + 6 + 237 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 47 ways as a sum of consecutive naturals, for example, 423198657 + ... + 423198783.

It is an arithmetic number, because the mean of its divisors is an integer number (286256880).

Almost surely, 253746237440 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 53746237440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109922641920).

53746237440 is an abundant number, since it is smaller than the sum of its proper divisors (166099046400).

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

53746237440 is a wasteful number, since it uses less digits than its factorization.

53746237440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 45.

The spelling of 53746237440 in words is "fifty-three billion, seven hundred forty-six million, two hundred thirty-seven thousand, four hundred forty".