Search a number
-
+
18830775348 = 22347117110631
BaseRepresentation
bin10001100010011001…
…101101010000110100
31210121100102111120000
4101202121231100310
5302031134302343
612352320511300
71234433643450
oct214231552064
953540374500
1018830775348
117a93533260
12379647b530
131a1139a328
14ca8cc7660
157532aded3
hex46266d434

18830775348 has 240 divisors, whose sum is σ = 62244661248. Its totient is φ = 4821768000.

The previous prime is 18830775347. The next prime is 18830775367. The reversal of 18830775348 is 84357703881.

18830775348 is a `hidden beast` number, since 1 + 8 + 8 + 30 + 77 + 534 + 8 = 666.

It is a super-2 number, since 2×188307753482 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 18830775294 and 18830775303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18830775343) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1765993 + ... + 1776623.

Almost surely, 218830775348 is an apocalyptic number.

18830775348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18830775348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31122330624).

18830775348 is an abundant number, since it is smaller than the sum of its proper divisors (43413885900).

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

18830775348 is a wasteful number, since it uses less digits than its factorization.

18830775348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10736 (or 10725 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 18830775348 in words is "eighteen billion, eight hundred thirty million, seven hundred seventy-five thousand, three hundred forty-eight".