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632133593145 = 32514047413181
BaseRepresentation
bin10010011001011100001…
…10010010100000111001
32020102122110212201102200
421030232012102200321
540324102144440040
61202222000420413
763445600613025
oct11145606224071
92212573781380
10632133593145
112240a4a2a74a
12a2618317709
13477c1072a52
1422849c01385
151169ae47630
hex932e192839

632133593145 has 12 divisors (see below), whose sum is σ = 1095698228196. Its totient is φ = 337137916320.

The previous prime is 632133593107. The next prime is 632133593249. The reversal of 632133593145 is 541395331236.

632133593145 is a `hidden beast` number, since 6 + 3 + 2 + 13 + 3 + 593 + 1 + 45 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 407431996416 + 224701596729 = 638304^2 + 474027^2 .

It is not a de Polignac number, because 632133593145 - 214 = 632133576761 is a prime.

It is a Smith number, since the sum of its digits (45) 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 (45), and also a Moran number because the ratio is a prime number: 14047413181 = 632133593145 / (6 + 3 + 2 + 1 + 3 + 3 + 5 + 9 + 3 + 1 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 632133593145.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7023706546 + ... + 7023706635.

It is an arithmetic number, because the mean of its divisors is an integer number (91308185683).

Almost surely, 2632133593145 is an apocalyptic number.

It is an amenable number.

632133593145 is a deficient number, since it is larger than the sum of its proper divisors (463564635051).

632133593145 is a wasteful number, since it uses less digits than its factorization.

632133593145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14047413192 (or 14047413189 counting only the distinct ones).

The product of its digits is 874800, while the sum is 45.

The spelling of 632133593145 in words is "six hundred thirty-two billion, one hundred thirty-three million, five hundred ninety-three thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 14047413181 42142239543 70237065905 126426718629 210711197715 632133593145