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5397956640 = 253453711257
BaseRepresentation
bin1010000011011111…
…00100100000100000
3111221012012121110000
411001233210200200
542023334103030
62251344540000
7250523605626
oct50157444040
914835177400
105397956640
11232000779a
121067921600
136804360ab
14392c93516
15218d64860
hex141be4820

5397956640 has 240 divisors, whose sum is σ = 19566899352. Its totient is φ = 1400426496.

The previous prime is 5397956633. The next prime is 5397956659. The reversal of 5397956640 is 466597935.

5397956640 is a `hidden beast` number, since 5 + 3 + 9 + 79 + 566 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5388147216 + 9809424 = 73404^2 + 3132^2 .

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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 473892 + ... + 485148.

Almost surely, 25397956640 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 5397956640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9783449676).

5397956640 is an abundant number, since it is smaller than the sum of its proper divisors (14168942712).

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

5397956640 is a wasteful number, since it uses less digits than its factorization.

5397956640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11321 (or 11304 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The square root of 5397956640 is about 73470.7876642139. The cubic root of 5397956640 is about 1754.1893253474.

The spelling of 5397956640 in words is "five billion, three hundred ninety-seven million, nine hundred fifty-six thousand, six hundred forty".