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520660988640 = 253451324112823
BaseRepresentation
bin1111001001110011101…
…00000011001011100000
31211202220202111200110000
413210321310003023200
532012303203114030
61035104403540000
752421315245002
oct7447164031340
91752822450400
10520660988640
111908a1611021
1284aa838a600
133a137756240
141b2b320a372
15d824917860
hex7939d032e0

520660988640 has 480 divisors, whose sum is σ = 1987211451456. Its totient is φ = 127620956160.

The previous prime is 520660988629. The next prime is 520660988641. The reversal of 520660988640 is 46889066025.

It is a happy number.

520660988640 is a `hidden beast` number, since 5 + 20 + 6 + 609 + 8 + 8 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520660988641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40597269 + ... + 40610091.

Almost surely, 2520660988640 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 520660988640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993605725728).

520660988640 is an abundant number, since it is smaller than the sum of its proper divisors (1466550462816).

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

520660988640 is a wasteful number, since it uses less digits than its factorization.

520660988640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13104 (or 13087 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 520660988640 in words is "five hundred twenty billion, six hundred sixty million, nine hundred eighty-eight thousand, six hundred forty".