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1198023336048 = 24371117195973233
BaseRepresentation
bin10001011011101111110…
…000010110000001110000
311020112022022021011210110
4101123233300112001300
5124112022433223143
62314210405501320
7152361064223250
oct21335760260160
94215268234713
101198023336048
11422095a39220
12174227711840
1388c85c21376
1441dadbc5960
152126b3d7533
hex116efc16070

1198023336048 has 1280 divisors, whose sum is σ = 4452400742400. Its totient is φ = 267862671360.

The previous prime is 1198023336043. The next prime is 1198023336053. The reversal of 1198023336048 is 8406333208911.

It is an interprime number because it is at equal distance from previous prime (1198023336043) and next prime (1198023336053).

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

It is a junction number, because it is equal to n+sod(n) for n = 1198023335988 and 1198023336006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1198023336043) 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 255 ways as a sum of consecutive naturals, for example, 5141730940 + ... + 5141731172.

It is an arithmetic number, because the mean of its divisors is an integer number (3478438080).

Almost surely, 21198023336048 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 1198023336048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226200371200).

1198023336048 is an abundant number, since it is smaller than the sum of its proper divisors (3254377406352).

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

1198023336048 is a wasteful number, since it uses less digits than its factorization.

1198023336048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 1198023336048 in words is "one trillion, one hundred ninety-eight billion, twenty-three million, three hundred thirty-six thousand, forty-eight".