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535672028520 = 23365109168533
BaseRepresentation
bin1111100101110001000…
…10100111110101101000
31220012122220102112000000
413302320202213311220
532234024014403040
61050030114343000
753462311054446
oct7627042476550
91805586375000
10535672028520
111971a4993502
128799758aa60
133b68a669265
141bcd8aa5b96
15de026ad130
hex7cb88a7d68

535672028520 has 224 divisors, whose sum is σ = 1823655853800. Its totient is φ = 141534521856.

The previous prime is 535672028417. The next prime is 535672028537. The reversal of 535672028520 is 25820276535.

535672028520 is a `hidden beast` number, since 5 + 3 + 56 + 72 + 0 + 2 + 8 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 378099550404 + 157572478116 = 614898^2 + 396954^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3094174 + ... + 3262706.

Almost surely, 2535672028520 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 535672028520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911827926900).

535672028520 is an abundant number, since it is smaller than the sum of its proper divisors (1287983825280).

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

535672028520 is a wasteful number, since it uses less digits than its factorization.

535672028520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168671 (or 168652 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 535672028520 in words is "five hundred thirty-five billion, six hundred seventy-two million, twenty-eight thousand, five hundred twenty".