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1055721413880 = 2332571731532283
BaseRepresentation
bin11110101110011011110…
…01100101110011111000
310201221000001002112110200
433113031321211303320
5114244104140221010
62124554113442200
7136162521645510
oct17271571456370
93657001075420
101055721413880
11377802240971
12150732b70360
1378728493363
1439150988840
151c6dd564cc0
hexf5cde65cf8

1055721413880 has 1152 divisors, whose sum is σ = 4383671685120. Its totient is φ = 214878044160.

The previous prime is 1055721413843. The next prime is 1055721413909. The reversal of 1055721413880 is 883141275501.

1055721413880 is a `hidden beast` number, since 1 + 0 + 5 + 57 + 214 + 1 + 388 + 0 = 666.

It is a super-2 number, since 2×10557214138802 (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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3730464219 + ... + 3730464501.

It is an arithmetic number, because the mean of its divisors is an integer number (3805270560).

Almost surely, 21055721413880 is an apocalyptic number.

1055721413880 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 1055721413880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191835842560).

1055721413880 is an abundant number, since it is smaller than the sum of its proper divisors (3327950271240).

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

1055721413880 is a wasteful number, since it uses less digits than its factorization.

1055721413880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 1055721413880 in words is "one trillion, fifty-five billion, seven hundred twenty-one million, four hundred thirteen thousand, eight hundred eighty".