Search a number
-
+
18472490900 = 22521371348357
BaseRepresentation
bin10001001101000010…
…111101011110010100
31202200101020202200122
4101031002331132110
5300312424202100
612253001331112
71222523403413
oct211502753624
952611222618
1018472490900
11791a26a906
1236b6496a98
1319850a33b6
14c734a147a
15731ada985
hex44d0bd794

18472490900 has 36 divisors (see below), whose sum is σ = 40377928668. Its totient is φ = 7335056640.

The previous prime is 18472490857. The next prime is 18472490903. The reversal of 18472490900 is 909427481.

It can be written as a sum of positive squares in 6 ways, for example, as 614444944 + 17858045956 = 24788^2 + 133634^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18472490903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 660479 + ... + 687878.

Almost surely, 218472490900 is an apocalyptic number.

18472490900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18472490900 is an abundant number, since it is smaller than the sum of its proper divisors (21905437768).

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

18472490900 is a wasteful number, since it uses less digits than its factorization.

18472490900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348508 (or 1348501 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The spelling of 18472490900 in words is "eighteen billion, four hundred seventy-two million, four hundred ninety thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 137 274 548 685 1370 2740 3425 6850 13700 1348357 2696714 5393428 6741785 13483570 26967140 33708925 67417850 134835700 184724909 369449818 738899636 923624545 1847249090 3694498180 4618122725 9236245450 18472490900