Search a number
-
+
30463396162560 = 2103252929717673
BaseRepresentation
bin1101110110100110011111…
…11010000010110000000000
310222212021100110022212102200
412323103033322002300000
512443103013404200220
6144442405131113200
76262623232650414
oct673231772026000
9128767313285380
1030463396162560
1197854a9a55729
1235000158a2800
1313cc8bbcb89ca
14774617090d44
1537c652170890
hex1bb4cfe82c00

30463396162560 has 528 divisors, whose sum is σ = 109245686977440. Its totient is φ = 7839787253760.

The previous prime is 30463396162553. The next prime is 30463396162597. The reversal of 30463396162560 is 6526169336403.

30463396162560 is a `hidden beast` number, since 3 + 0 + 4 + 6 + 3 + 3 + 9 + 6 + 1 + 625 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30463396162497 and 30463396162506.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3970202884 + ... + 3970210556.

Almost surely, 230463396162560 is an apocalyptic number.

30463396162560 is a gapful number since it is divisible by the number (30) 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 30463396162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54622843488720).

30463396162560 is an abundant number, since it is smaller than the sum of its proper divisors (78782290814880).

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

30463396162560 is a wasteful number, since it uses less digits than its factorization.

30463396162560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10704 (or 10683 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 54.

The spelling of 30463396162560 in words is "thirty trillion, four hundred sixty-three billion, three hundred ninety-six million, one hundred sixty-two thousand, five hundred sixty".