Search a number
-
+
286161240960 = 2733572365751
BaseRepresentation
bin1000010101000001000…
…10100000001110000000
31000100122001212020012000
410022200202200032000
514142024234202320
6335243300304000
726450225262150
oct4124042401600
91010561766160
10286161240960
111003a6618861
12475629a2000
1320ca5a562aa
14dbc923c760
15769c7cac90
hex42a08a0380

286161240960 has 256 divisors, whose sum is σ = 1158272179200. Its totient is φ = 65408256000.

The previous prime is 286161240949. The next prime is 286161240961. The reversal of 286161240960 is 69042161682.

286161240960 is a `hidden beast` number, since 2 + 8 + 616 + 1 + 24 + 0 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286161240961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1061916 + ... + 1303835.

It is an arithmetic number, because the mean of its divisors is an integer number (4524500700).

Almost surely, 2286161240960 is an apocalyptic number.

286161240960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

286161240960 is an abundant number, since it is smaller than the sum of its proper divisors (872110938240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

286161240960 is a wasteful number, since it uses less digits than its factorization.

286161240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365786 (or 2365768 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 286161240960 in words is "two hundred eighty-six billion, one hundred sixty-one million, two hundred forty thousand, nine hundred sixty".