Search a number
-
+
612989870080 = 213573795641
BaseRepresentation
bin10001110101110010000…
…10110010000000000000
32011121020022120211022111
420322321002302000000
540020400401320310
61145334220145104
762200313632240
oct10727102620000
92147208524274
10612989870080
11216a7088a215
129a975098194
1345a5cbc3473
1421951533b20
1510e2a46d28a
hex8eb90b2000

612989870080 has 224 divisors, whose sum is σ = 1685975840640. Its totient is φ = 209576263680.

The previous prime is 612989870057. The next prime is 612989870099. The reversal of 612989870080 is 80078989216.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 612989869997 and 612989870024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108664060 + ... + 108669700.

It is an arithmetic number, because the mean of its divisors is an integer number (7526677860).

Almost surely, 2612989870080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 612989870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842987920320).

612989870080 is an abundant number, since it is smaller than the sum of its proper divisors (1072985970560).

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

612989870080 is an equidigital number, since it uses as much as digits as its factorization.

612989870080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6058 (or 6034 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 58.

The spelling of 612989870080 in words is "six hundred twelve billion, nine hundred eighty-nine million, eight hundred seventy thousand, eighty".