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930641388012 = 2234722347211257
BaseRepresentation
bin11011000101011101000…
…11001010000111101100
310021222010222221212120000
431202232203022013230
5110221423143404022
61551310350424300
7124144106164200
oct15425643120754
93258128855500
10930641388012
11329756890166
12130445b02090
13699b39ab32b
1433086aacb00
151931c5eb6ac
hexd8ae8ca1ec

930641388012 has 720 divisors, whose sum is σ = 3042049747968. Its totient is φ = 246781624320.

The previous prime is 930641388007. The next prime is 930641388013. The reversal of 930641388012 is 210883146039.

930641388012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (930641388013) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3621172588 + ... + 3621172844.

Almost surely, 2930641388012 is an apocalyptic number.

930641388012 is a gapful number since it is divisible by the number (92) 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 930641388012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521024873984).

930641388012 is an abundant number, since it is smaller than the sum of its proper divisors (2111408359956).

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

930641388012 is a wasteful number, since it uses less digits than its factorization.

930641388012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 930641388012 in words is "nine hundred thirty billion, six hundred forty-one million, three hundred eighty-eight thousand, twelve".