Search a number
-
+
30942535680 = 21333572571
BaseRepresentation
bin11100110100010100…
…011010000000000000
32221212102211200021000
4130310110122000000
51001332242120210
622114221532000
72143533133200
oct346424320000
987772750230
1030942535680
1112139289041
125bb6714000
132bc1732514
1416d76b8400
15c11758ac0
hex73451a000

30942535680 has 672 divisors, whose sum is σ = 128196319680. Its totient is φ = 7060193280.

The previous prime is 30942535649. The next prime is 30942535699. The reversal of 30942535680 is 8653524903.

30942535680 is a `hidden beast` number, since 30 + 9 + 4 + 2 + 53 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54189795 + ... + 54190365.

Almost surely, 230942535680 is an apocalyptic number.

30942535680 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 30942535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64098159840).

30942535680 is an abundant number, since it is smaller than the sum of its proper divisors (97253784000).

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

30942535680 is an equidigital number, since it uses as much as digits as its factorization.

30942535680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 30942535680 in words is "thirty billion, nine hundred forty-two million, five hundred thirty-five thousand, six hundred eighty".