Search a number
-
+
146381777260 = 22517225325567
BaseRepresentation
bin1000100001010100001…
…0001010100101101100
3111222211121010202100221
42020111002022211230
54344242213333020
6151125153301124
713401322401625
oct2102502124554
9458747122327
10146381777260
1157097773924
1224452b647a4
1310a5aa8bb64
14712901aa4c
153c1b11d6aa
hex221508a96c

146381777260 has 36 divisors (see below), whose sum is σ = 326547873792. Its totient is φ = 55108431616.

The previous prime is 146381777249. The next prime is 146381777261. The reversal of 146381777260 is 62777183641.

It is a junction number, because it is equal to n+sod(n) for n = 146381777198 and 146381777207.

It is not an unprimeable number, because it can be changed into a prime (146381777261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12657004 + ... + 12668563.

It is an arithmetic number, because the mean of its divisors is an integer number (9070774272).

Almost surely, 2146381777260 is an apocalyptic number.

146381777260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146381777260 is an abundant number, since it is smaller than the sum of its proper divisors (180166096532).

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

146381777260 is a wasteful number, since it uses less digits than its factorization.

146381777260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25325610 (or 25325591 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 52.

The spelling of 146381777260 in words is "one hundred forty-six billion, three hundred eighty-one million, seven hundred seventy-seven thousand, two hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 5780 25325567 50651134 101302268 126627835 253255670 430534639 506511340 861069278 1722138556 2152673195 4305346390 7319088863 8610692780 14638177726 29276355452 36595444315 73190888630 146381777260