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2398117438860 = 2235111331731131093
BaseRepresentation
bin100010111001011010111…
…100000010010110001100
322111020221221001012120020
4202321122330002112030
5303242321031020420
65033402511222140
7335154404620443
oct42713274022614
98436857035506
102398117438860
11845043859130
12328930817950
131451abb665c0
14840d8a07d5a
15425a94b0340
hex22e5af0258c

2398117438860 has 768 divisors, whose sum is σ = 8335323021312. Its totient is φ = 507219148800.

The previous prime is 2398117438751. The next prime is 2398117438897. The reversal of 2398117438860 is 688347118932.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 2398117438794 and 2398117438803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2194068474 + ... + 2194069566.

It is an arithmetic number, because the mean of its divisors is an integer number (10853285184).

Almost surely, 22398117438860 is an apocalyptic number.

2398117438860 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 2398117438860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4167661510656).

2398117438860 is an abundant number, since it is smaller than the sum of its proper divisors (5937205582452).

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

2398117438860 is a wasteful number, since it uses less digits than its factorization.

2398117438860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 2398117438860 in words is "two trillion, three hundred ninety-eight billion, one hundred seventeen million, four hundred thirty-eight thousand, eight hundred sixty".