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1080537198048 = 253572112231019
BaseRepresentation
bin11111011100101010000…
…10010010110111100000
310211022001111100222200000
433232111002102313200
5120200420010314143
62144220354100000
7141031501432500
oct17562502226740
93738044328600
101080537198048
11387287095900
121554b987a600
137ab817aab09
143a42669ba00
151d191e99bd3
hexfb95092de0

1080537198048 has 1296 divisors, whose sum is σ = 4255786604160. Its totient is φ = 268192995840.

The previous prime is 1080537198019. The next prime is 1080537198137. The reversal of 1080537198048 is 8408917350801.

1080537198048 is a `hidden beast` number, since 10 + 8 + 0 + 537 + 1 + 98 + 0 + 4 + 8 = 666.

1080537198048 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1080537197985 and 1080537198003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1060389283 + ... + 1060390301.

It is an arithmetic number, because the mean of its divisors is an integer number (3283785960).

Almost surely, 21080537198048 is an apocalyptic number.

1080537198048 is a gapful number since it is divisible by the number (18) 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 1080537198048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127893302080).

1080537198048 is an abundant number, since it is smaller than the sum of its proper divisors (3175249406112).

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

1080537198048 is a wasteful number, since it uses less digits than its factorization.

1080537198048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 1080537198048 in words is "one trillion, eighty billion, five hundred thirty-seven million, one hundred ninety-eight thousand, forty-eight".