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1055458140672 = 293131092392029
BaseRepresentation
bin11110101101111100011…
…01010010001000000000
310201220022200200212112010
433112332031102020000
5114243034241000142
62124512030532520
7136153144112235
oct17267615221000
93656280625463
101055458140672
11377687671901
1215067a967140
13786b5a842b0
1439127a1578c
151c6c53ace9c
hexf5be352200

1055458140672 has 320 divisors, whose sum is σ = 3070178496000. Its totient is φ = 320272662528.

The previous prime is 1055458140647. The next prime is 1055458140719. The reversal of 1055458140672 is 2760418545501.

It is a happy number.

It is a super-3 number, since 3×10554581406723 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 520185354 + ... + 520187382.

It is an arithmetic number, because the mean of its divisors is an integer number (9594307800).

Almost surely, 21055458140672 is an apocalyptic number.

1055458140672 is a gapful number since it is divisible by the number (12) 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 1055458140672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535089248000).

1055458140672 is an abundant number, since it is smaller than the sum of its proper divisors (2014720355328).

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

1055458140672 is a wasteful number, since it uses less digits than its factorization.

1055458140672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 48.

The spelling of 1055458140672 in words is "one trillion, fifty-five billion, four hundred fifty-eight million, one hundred forty thousand, six hundred seventy-two".