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53670745440 = 253251329109907
BaseRepresentation
bin110001111111000001…
…101001010101100000
312010112101222100201200
4301333001221111200
51334404202323230
640353410201200
73610003544334
oct617701512540
9163471870650
1053670745440
1120841811474
12a49a283200
1350a43bca50
1428520577c4
1515e1c7d160
hexc7f069560

53670745440 has 576 divisors, whose sum is σ = 206140334400. Its totient is φ = 12624740352.

The previous prime is 53670745423. The next prime is 53670745511. The reversal of 53670745440 is 4454707635.

53670745440 is a `hidden beast` number, since 5 + 36 + 7 + 0 + 74 + 544 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59173467 + ... + 59174373.

It is an arithmetic number, because the mean of its divisors is an integer number (357882525).

Almost surely, 253670745440 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 53670745440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103070167200).

53670745440 is an abundant number, since it is smaller than the sum of its proper divisors (152469588960).

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

53670745440 is a wasteful number, since it uses less digits than its factorization.

53670745440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 53670745440 in words is "fifty-three billion, six hundred seventy million, seven hundred forty-five thousand, four hundred forty".