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57273085440 = 293256140751
BaseRepresentation
bin110101010101101111…
…011110111000000000
312110211110102012012200
4311111233132320000
51414243402213230
642151052553200
74065165123324
oct652557367000
9173743365180
1057273085440
112232018886a
12b124782800
13552980bc8c
142ab4655984
151753153160
hexd55bdee00

57273085440 has 240 divisors, whose sum is σ = 201609435456. Its totient is φ = 15022080000.

The previous prime is 57273085439. The next prime is 57273085469. The reversal of 57273085440 is 4458037275.

57273085440 is a `hidden beast` number, since 5 + 72 + 7 + 30 + 8 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1385065 + ... + 1425815.

Almost surely, 257273085440 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 57273085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100804717728).

57273085440 is an abundant number, since it is smaller than the sum of its proper divisors (144336350016).

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

57273085440 is a wasteful number, since it uses less digits than its factorization.

57273085440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40841 (or 40822 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 57273085440 in words is "fifty-seven billion, two hundred seventy-three million, eighty-five thousand, four hundred forty".