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40160688561 = 327291067321
BaseRepresentation
bin100101011001110000…
…110111100110110001
310211122212102100202200
4211121300313212301
51124222114013221
630241034533413
72621135135400
oct453160674661
9124585370680
1040160688561
1116039730804
127949897269
133a30454556
141d2da79637
1510a0b78426
hex959c379b1

40160688561 has 18 divisors (see below), whose sum is σ = 67480885602. Its totient is φ = 22948964640.

The previous prime is 40160688559. The next prime is 40160688593. The reversal of 40160688561 is 16588606104.

40160688561 is a `hidden beast` number, since 4 + 0 + 1 + 6 + 0 + 6 + 88 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39968006400 + 192682161 = 199920^2 + 13881^2 .

It is not a de Polignac number, because 40160688561 - 21 = 40160688559 is a prime.

It is a super-2 number, since 2×401606885612 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40160688761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 45533220 + ... + 45534101.

It is an arithmetic number, because the mean of its divisors is an integer number (3748938089).

Almost surely, 240160688561 is an apocalyptic number.

It is an amenable number.

40160688561 is a deficient number, since it is larger than the sum of its proper divisors (27320197041).

40160688561 is a wasteful number, since it uses less digits than its factorization.

40160688561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91067341 (or 91067331 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 40160688561 in words is "forty billion, one hundred sixty million, six hundred eighty-eight thousand, five hundred sixty-one".

Divisors: 1 3 7 9 21 49 63 147 441 91067321 273201963 637471247 819605889 1912413741 4462298729 5737241223 13386896187 40160688561