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1055356047360 = 212325291791103
BaseRepresentation
bin11110101101110000001…
…11110101000000000000
310201220001120120222211100
433112320013311000000
5114242332122003420
62124453542414400
7136150464251136
oct17267007650000
93656046528740
101055356047360
11377634a8066a
12150650731400
137869a889a54
143911823b756
151c6bb443190
hexf5b81f5000

1055356047360 has 624 divisors, whose sum is σ = 3808854316800. Its totient is φ = 269960871936.

The previous prime is 1055356047287. The next prime is 1055356047377. The reversal of 1055356047360 is 637406535501.

1055356047360 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 3 + 5 + 604 + 7 + 36 + 0 = 666.

It is a super-2 number, since 2×10553560473602 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 956804569 + ... + 956805671.

It is an arithmetic number, because the mean of its divisors is an integer number (6103933200).

Almost surely, 21055356047360 is an apocalyptic number.

1055356047360 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 1055356047360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904427158400).

1055356047360 is an abundant number, since it is smaller than the sum of its proper divisors (2753498269440).

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

1055356047360 is a wasteful number, since it uses less digits than its factorization.

1055356047360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 1055356047360 in words is "one trillion, fifty-five billion, three hundred fifty-six million, forty-seven thousand, three hundred sixty".