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535054263552 = 28341072391009
BaseRepresentation
bin1111100100100111011…
…10000010010100000000
31220011001211222210210000
413302103232002110000
532231242342413202
61045444525440000
753441100125424
oct7622356022400
91804054883700
10535054263552
11196a08201546
1287844710000
133b5bc690663
141bc7aa16b84
15ddb833191c
hex7c93b82500

535054263552 has 360 divisors, whose sum is σ = 1618686115200. Its totient is φ = 175770943488.

The previous prime is 535054263487. The next prime is 535054263559. The reversal of 535054263552 is 255362450535.

It is a happy number.

535054263552 is a `hidden beast` number, since 5 + 3 + 5 + 0 + 5 + 4 + 2 + 635 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 535054263498 and 535054263507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535054263559) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 530281224 + ... + 530282232.

It is an arithmetic number, because the mean of its divisors is an integer number (4496350320).

Almost surely, 2535054263552 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 535054263552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809343057600).

535054263552 is an abundant number, since it is smaller than the sum of its proper divisors (1083631851648).

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

535054263552 is a wasteful number, since it uses less digits than its factorization.

535054263552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 2700000, while the sum is 45.

The spelling of 535054263552 in words is "five hundred thirty-five billion, fifty-four million, two hundred sixty-three thousand, five hundred fifty-two".