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2398130685120 = 2635194127111833
BaseRepresentation
bin100010111001011011101…
…110100100010011000000
322111020222211222012000110
4202321123232210103000
5303242332423410440
65033404103151320
7335154625330332
oct42713356442300
98436884865013
102398130685120
11845050286255
12328935145540
131451b1823921
14840da695452
15425aa72a080
hex22e5bba44c0

2398130685120 has 448 divisors, whose sum is σ = 8241280911360. Its totient is φ = 588836044800.

The previous prime is 2398130685089. The next prime is 2398130685127. The reversal of 2398130685120 is 215860318932.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2398130685120.

It is not an unprimeable number, because it can be changed into a prime (2398130685127) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 202658724 + ... + 202670556.

It is an arithmetic number, because the mean of its divisors is an integer number (18395716320).

Almost surely, 22398130685120 is an apocalyptic number.

2398130685120 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 2398130685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4120640455680).

2398130685120 is an abundant number, since it is smaller than the sum of its proper divisors (5843150226240).

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

2398130685120 is a wasteful number, since it uses less digits than its factorization.

2398130685120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12184 (or 12174 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 2398130685120 in words is "two trillion, three hundred ninety-eight billion, one hundred thirty million, six hundred eighty-five thousand, one hundred twenty".