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5356397147040 = 2534517231318069
BaseRepresentation
bin100110111110010001000…
…1001100011001110100000
3200222001210112020001210000
41031330202021203032200
51200224400132201130
615220410032140000
71061662341345642
oct115744211431640
920861715201700
105356397147040
1117856a9604095
12726132697600
132cb14c0b14a4
14147372a88892
15944eb1ab260
hex4df222633a0

5356397147040 has 960 divisors, whose sum is σ = 21047881155840. Its totient is φ = 1275926446080.

The previous prime is 5356397147021. The next prime is 5356397147141. The reversal of 5356397147040 is 407417936535.

5356397147040 is a `hidden beast` number, since 5 + 3 + 5 + 63 + 9 + 71 + 470 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 159 ways as a sum of consecutive naturals, for example, 663820126 + ... + 663828194.

It is an arithmetic number, because the mean of its divisors is an integer number (21924876204).

Almost surely, 25356397147040 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 5356397147040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10523940577920).

5356397147040 is an abundant number, since it is smaller than the sum of its proper divisors (15691484008800).

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

5356397147040 is a wasteful number, since it uses less digits than its factorization.

5356397147040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8267 (or 8250 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 5356397147040 in words is "five trillion, three hundred fifty-six billion, three hundred ninety-seven million, one hundred forty-seven thousand, forty".