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1055737574080 = 265717103269167
BaseRepresentation
bin11110101110011101101…
…11001111001011000000
310201221001011111120002121
433113032313033023000
5114244122304332310
62124555452054024
7136163106213010
oct17271667171300
93657034446077
101055737574080
11377810379302
12150738464314
137872b930ac7
1439152b93c40
151c6deba80da
hexf5cedcf2c0

1055737574080 has 224 divisors, whose sum is σ = 3071667695616. Its totient is φ = 337366204416.

The previous prime is 1055737574041. The next prime is 1055737574117. The reversal of 1055737574080 is 804757375501.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×10557375740802 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3787657 + ... + 4056823.

Almost surely, 21055737574080 is an apocalyptic number.

1055737574080 is a gapful number since it is divisible by the number (10) 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 1055737574080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535833847808).

1055737574080 is an abundant number, since it is smaller than the sum of its proper divisors (2015930121536).

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

1055737574080 is a wasteful number, since it uses less digits than its factorization.

1055737574080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269311 (or 269301 counting only the distinct ones).

The product of its (nonzero) digits is 4116000, while the sum is 52.

The spelling of 1055737574080 in words is "one trillion, fifty-five billion, seven hundred thirty-seven million, five hundred seventy-four thousand, eighty".