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525380513542434 = 23211103127920922027
BaseRepresentation
bin111011101110101001010111…
…0111000011011000100100010
32112220012212221022112001000200
41313131102232320123010202
51022330313242431324214
65101220250450130030
7215443326616465224
oct16735225670330442
92486185838461020
10525380513542434
11142447696286780
124ab1231ab80916
13197202291b9544
1493a47a421a414
1540b1545c73d09
hex1ddd4aee1b122

525380513542434 has 192 divisors, whose sum is σ = 1263932438446080. Its totient is φ = 156395017416960.

The previous prime is 525380513542403. The next prime is 525380513542441. The reversal of 525380513542434 is 434245315083525.

525380513542434 is a `hidden beast` number, since 5 + 2 + 5 + 3 + 8 + 0 + 51 + 3 + 542 + 43 + 4 = 666.

It is a super-2 number, since 2×5253805135424342 (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23851648929 + ... + 23851670955.

It is an arithmetic number, because the mean of its divisors is an integer number (6582981450240).

Almost surely, 2525380513542434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 525380513542434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631966219223040).

525380513542434 is an abundant number, since it is smaller than the sum of its proper divisors (738551924903646).

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

525380513542434 is a wasteful number, since it uses less digits than its factorization.

525380513542434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31485 (or 31482 counting only the distinct ones).

The product of its (nonzero) digits is 34560000, while the sum is 54.

The spelling of 525380513542434 in words is "five hundred twenty-five trillion, three hundred eighty billion, five hundred thirteen million, five hundred forty-two thousand, four hundred thirty-four".