Search a number
-
+
271380636945 = 3251131107197839
BaseRepresentation
bin1111110010111110001…
…0111110010100010001
3221221110222112202012200
43330233202332110101
513421241420340240
6324400500513413
725415031232155
oct3745742762421
9857428482180
10271380636945
11a5101327240
12447189ab869
131c78b7c5a62
14d1c6209065
1570d4da2930
hex3f2f8be511

271380636945 has 192 divisors, whose sum is σ = 538014597120. Its totient is φ = 125354073600.

The previous prime is 271380636907. The next prime is 271380636949. The reversal of 271380636945 is 549636083172.

271380636945 is a `hidden beast` number, since 271 + 3 + 8 + 0 + 6 + 369 + 4 + 5 = 666.

It is not a de Polignac number, because 271380636945 - 26 = 271380636881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 271380636891 and 271380636900.

It is not an unprimeable number, because it can be changed into a prime (271380636949) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 323456836 + ... + 323457674.

It is an arithmetic number, because the mean of its divisors is an integer number (2802159360).

It is a 2-persistent number, because it is pandigital, and so is 2⋅271380636945 = 542761273890, but 3⋅271380636945 = 814141910835 is not.

Almost surely, 2271380636945 is an apocalyptic number.

It is an amenable number.

271380636945 is a deficient number, since it is larger than the sum of its proper divisors (266633960175).

271380636945 is a wasteful number, since it uses less digits than its factorization.

271380636945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 271380636945 in words is "two hundred seventy-one billion, three hundred eighty million, six hundred thirty-six thousand, nine hundred forty-five".