Search a number
-
+
219731927049 = 32312712906161
BaseRepresentation
bin1100110010100100001…
…0110010000000001001
3210000011111101102210100
43030221002302000021
512100002333131144
6244535441440013
721606106364055
oct3145102620011
9700144342710
10219731927049
1185207a43028
1236703940009
131794a2c715b
14a8c6944c65
155ab08db269
hex33290b2009

219731927049 has 24 divisors (see below), whose sum is σ = 328838042624. Its totient is φ = 141239376000.

The previous prime is 219731927039. The next prime is 219731927071. The reversal of 219731927049 is 940729137912.

It is a happy number.

219731927049 is a `hidden beast` number, since 2 + 19 + 7 + 319 + 270 + 49 = 666.

It is not a de Polignac number, because 219731927049 - 24 = 219731927033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 219731926986 and 219731927004.

It is not an unprimeable number, because it can be changed into a prime (219731927039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1377472 + ... + 1528689.

Almost surely, 2219731927049 is an apocalyptic number.

It is an amenable number.

219731927049 is a deficient number, since it is larger than the sum of its proper divisors (109106115575).

219731927049 is a wasteful number, since it uses less digits than its factorization.

219731927049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906469 (or 2906466 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 219731927049 in words is "two hundred nineteen billion, seven hundred thirty-one million, nine hundred twenty-seven thousand, forty-nine".

Divisors: 1 3 9 31 93 271 279 813 2439 8401 25203 75609 2906161 8718483 26155449 90090991 270272973 787569631 810818919 2362708893 7088126679 24414658561 73243975683 219731927049