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930912054016 = 287319709787
BaseRepresentation
bin11011000101111101010…
…11101010101100000000
310021222211212021010111211
431202332223222230000
5110223001441212031
61551353300015504
7124153603621000
oct15427653525400
93258755233454
10930912054016
1132988564957a
12130500691594
1369a27aa8329
14330b0a08000
1519336263bb1
hexd8beaeab00

930912054016 has 288 divisors, whose sum is σ = 2287154240000. Its totient is φ = 376951615488.

The previous prime is 930912054011. The next prime is 930912054029. The reversal of 930912054016 is 610450219039.

930912054016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 930912054016.

It is not an unprimeable number, because it can be changed into a prime (930912054011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1182861175 + ... + 1182861961.

Almost surely, 2930912054016 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 930912054016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143577120000).

930912054016 is an abundant number, since it is smaller than the sum of its proper divisors (1356242185984).

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

930912054016 is an equidigital number, since it uses as much as digits as its factorization.

930912054016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The spelling of 930912054016 in words is "nine hundred thirty billion, nine hundred twelve million, fifty-four thousand, sixteen".