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93740043537 = 32721571353901
BaseRepresentation
bin101011101001101010…
…1111000110100010001
322221221220102121100100
41113103111320310101
53013434422343122
6111021422243013
76525652136400
oct1272325706421
9287856377310
1093740043537
11368338a1168
1216201426469
138abb9264aa
144773903637
1526898a2aac
hex15d3578d11

93740043537 has 36 divisors (see below), whose sum is σ = 158512138356. Its totient is φ = 53224516800.

The previous prime is 93740043521. The next prime is 93740043571. The reversal of 93740043537 is 73534004739.

It is a happy number.

93740043537 is a `hidden beast` number, since 9 + 3 + 74 + 0 + 0 + 43 + 537 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45129054096 + 48610989441 = 212436^2 + 220479^2 .

It is not a de Polignac number, because 93740043537 - 24 = 93740043521 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 93740043492 and 93740043501.

It is not an unprimeable number, because it can be changed into a prime (93740043577) 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 35 ways as a sum of consecutive naturals, for example, 607714 + ... + 746187.

Almost surely, 293740043537 is an apocalyptic number.

It is an amenable number.

93740043537 is a deficient number, since it is larger than the sum of its proper divisors (64772094819).

93740043537 is a wasteful number, since it uses less digits than its factorization.

93740043537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354078 (or 1354068 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 93740043537 in words is "ninety-three billion, seven hundred forty million, forty-three thousand, five hundred thirty-seven".

Divisors: 1 3 7 9 21 49 63 147 157 441 471 1099 1413 3297 7693 9891 23079 69237 1353901 4061703 9477307 12185109 28431921 66341149 85295763 199023447 212562457 597070341 637687371 1487937199 1913062113 4463811597 10415560393 13391434791 31246681179 93740043537