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575432027352 = 2332713359244639
BaseRepresentation
bin10000101111110100110…
…10111110110011011000
32001000021211212201210100
420113322122332303120
533411441044333402
61120203321215400
756400512346420
oct10277232766330
92030254781710
10575432027352
11202048418076
1293633031560
1342355a9a2a0
141dbcb43b480
15ee7d08871c
hex85fa6becd8

575432027352 has 192 divisors, whose sum is σ = 1923457536000. Its totient is φ = 151338938112.

The previous prime is 575432027351. The next prime is 575432027399. The reversal of 575432027352 is 253720234575.

It is a happy number.

575432027352 is a `hidden beast` number, since 5 + 7 + 5 + 4 + 320 + 273 + 52 = 666.

It is a super-2 number, since 2×5754320273522 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 575432027298 and 575432027307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575432027351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2229849 + ... + 2474487.

It is an arithmetic number, because the mean of its divisors is an integer number (10018008000).

Almost surely, 2575432027352 is an apocalyptic number.

575432027352 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 575432027352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961728768000).

575432027352 is an abundant number, since it is smaller than the sum of its proper divisors (1348025508648).

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

575432027352 is a wasteful number, since it uses less digits than its factorization.

575432027352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245030 (or 245023 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 45.

The spelling of 575432027352 in words is "five hundred seventy-five billion, four hundred thirty-two million, twenty-seven thousand, three hundred fifty-two".