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244530005379660 = 223257111319181394633
BaseRepresentation
bin110111100110011000010100…
…000110111000101001001100
31012001210211200111212200221100
4313212120110012320221030
5224022334422334122120
62224023311134303100
7102335465326650120
oct6746302406705114
91161724614780840
10244530005379660
1170a07658175310
1223513678057a90
13a65a107cc9750
14445545b6ab580
151d40bbebd7490
hexde66141b8a4c

244530005379660 has 1152 divisors, whose sum is σ = 1054114517514240. Its totient is φ = 44188681420800.

The previous prime is 244530005379587. The next prime is 244530005379661. The reversal of 244530005379660 is 66973500035442.

244530005379660 is a `hidden beast` number, since 2 + 4 + 45 + 3 + 0 + 0 + 0 + 537 + 9 + 6 + 60 = 666.

244530005379660 is a modest number, since divided by 5379660 gives 2445300 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 244530005379597 and 244530005379606.

It is not an unprimeable number, because it can be changed into a prime (244530005379661) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 619441704 + ... + 619836336.

It is an arithmetic number, because the mean of its divisors is an integer number (915029963120).

Almost surely, 2244530005379660 is an apocalyptic number.

244530005379660 is a gapful number since it is divisible by the number (20) 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 244530005379660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527057258757120).

244530005379660 is an abundant number, since it is smaller than the sum of its proper divisors (809584512134580).

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

244530005379660 is a wasteful number, since it uses less digits than its factorization.

244530005379660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394879 (or 394874 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 244530005379660 in words is "two hundred forty-four trillion, five hundred thirty billion, five million, three hundred seventy-nine thousand, six hundred sixty".