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31914750609 = 32724721812
BaseRepresentation
bin11101101110010001…
…000111001010010001
310001101012020022102100
4131232101013022101
51010330134004414
622354511511013
72206606622100
oct355621071221
9101335208370
1031914750609
1112598054555
126228228469
133017c91921
14178a872037
15c6bc9c609
hex76e447291

31914750609 has 81 divisors (see below), whose sum is σ = 55095092091. Its totient is φ = 17750365920.

The previous prime is 31914750577. The next prime is 31914750611. The reversal of 31914750609 is 90605741913.

The square root of 31914750609 is 178647.

It is a perfect power (a square), and thus also a powerful number.

31914750609 is a `hidden beast` number, since 31 + 9 + 1 + 4 + 7 + 5 + 0 + 609 = 666.

It can be written as a sum of positive squares in only one way, i.e., 351675009 + 31563075600 = 18753^2 + 177660^2 .

It is not a de Polignac number, because 31914750609 - 25 = 31914750577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31914750809) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 176324499 + ... + 176324679.

Almost surely, 231914750609 is an apocalyptic number.

31914750609 is the 178647-th square number.

31914750609 is the 89324-th centered octagonal number.

It is an amenable number.

31914750609 is a deficient number, since it is larger than the sum of its proper divisors (23180341482).

31914750609 is an equidigital number, since it uses as much as digits as its factorization.

31914750609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 31914750609 in words is "thirty-one billion, nine hundred fourteen million, seven hundred fifty thousand, six hundred nine".

Divisors: 1 3 7 9 21 47 49 63 141 147 181 329 423 441 543 987 1267 1629 2209 2303 2961 3801 6627 6909 8507 8869 11403 15463 19881 20727 25521 26607 32761 46389 59549 76563 79821 98283 108241 139167 178647 229327 294849 324723 399829 416843 535941 687981 974169 1199487 1250529 1539767 1605289 2063943 2798803 3598461 3751587 4619301 4815867 8396409 10778369 13857903 14447601 19591621 25189227 32335107 58774863 72369049 75448583 97005321 176324589 217107147 226345749 506583343 651321441 679037247 1519750029 3546083401 4559250087 10638250203 31914750609