Search a number
-
+
1480364200512 = 26322570076737
BaseRepresentation
bin10101100010101100100…
…101010001001001000000
312020112002010102011122200
4111202230211101021000
5143223241213404022
63052023034233200
7211644543041511
oct25425445211100
95215063364580
101480364200512
11520900aa862a
121baaa2b85800
13a97a0327642
14519158aaa08
15287935bebac
hex158ac951240

1480364200512 has 42 divisors (see below), whose sum is σ = 4243196694438. Its totient is φ = 493454733312.

The previous prime is 1480364200487. The next prime is 1480364200589. The reversal of 1480364200512 is 2150024630841.

It is a happy number.

1480364200512 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 3 + 642 + 0 + 0 + 5 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1464932598336 + 15431602176 = 1210344^2 + 124224^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1285037793 + ... + 1285038944.

Almost surely, 21480364200512 is an apocalyptic number.

1480364200512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1480364200512 is an abundant number, since it is smaller than the sum of its proper divisors (2762832493926).

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

1480364200512 is a wasteful number, since it uses less digits than its factorization.

1480364200512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570076755 (or 2570076742 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 1480364200512 in words is "one trillion, four hundred eighty billion, three hundred sixty-four million, two hundred thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2570076737 5140153474 7710230211 10280306948 15420460422 20560613896 23130690633 30840920844 41121227792 46261381266 61681841688 82242455584 92522762532 123363683376 164484911168 185045525064 246727366752 370091050128 493454733504 740182100256 1480364200512