Search a number
-
+
330425536680 = 2333519312691931
BaseRepresentation
bin1001100111011101110…
…01011001000010101000
31011120212220221102201000
410303232321121002220
520403202414133210
6411443445555000
732605152502041
oct4635671310250
91146786842630
10330425536680
11118150668338
1254056a15a60
132520b406855
1411dc7cbb8c8
1588dd842ac0
hex4ceee590a8

330425536680 has 512 divisors, whose sum is σ = 1201858560000. Its totient is φ = 80441164800.

The previous prime is 330425536669. The next prime is 330425536681. The reversal of 330425536680 is 86635524033.

330425536680 is a `hidden beast` number, since 3 + 30 + 4 + 2 + 5 + 536 + 6 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (330425536681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 171115315 + ... + 171117245.

It is an arithmetic number, because the mean of its divisors is an integer number (2347380000).

Almost surely, 2330425536680 is an apocalyptic number.

330425536680 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 330425536680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600929280000).

330425536680 is an abundant number, since it is smaller than the sum of its proper divisors (871433023320).

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

330425536680 is a wasteful number, since it uses less digits than its factorization.

330425536680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 330425536680 in words is "three hundred thirty billion, four hundred twenty-five million, five hundred thirty-six thousand, six hundred eighty".