Search a number
-
+
6230837882880 = 212395132941
BaseRepresentation
bin101101010101011101011…
…1000001111000000000000
3211001122212210202000000000
41122222322320033000000
51304041223444223010
621130224000000000
71212106654100232
oct132527270170000
924048783660000
106230837882880
111a92535602476
128476b3000000
133627474cbc40
14177807706252
15ac1298927c0
hex5aabae0f000

6230837882880 has 2080 divisors, whose sum is σ = 25595401930560. Its totient is φ = 1444738498560.

The previous prime is 6230837882869. The next prime is 6230837882903. The reversal of 6230837882880 is 882887380326.

6230837882880 is a `hidden beast` number, since 6 + 230 + 8 + 378 + 8 + 28 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2080).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 151971655660 + ... + 151971655700.

Almost surely, 26230837882880 is an apocalyptic number.

6230837882880 is a gapful number since it is divisible by the number (60) 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 6230837882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12797700965280).

6230837882880 is an abundant number, since it is smaller than the sum of its proper divisors (19364564047680).

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

6230837882880 is an frugal number, since it uses more digits than its factorization.

6230837882880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 6230837882880 in words is "six trillion, two hundred thirty billion, eight hundred thirty-seven million, eight hundred eighty-two thousand, eight hundred eighty".