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1055728041984 = 2153371115497
BaseRepresentation
bin11110101110011100100…
…10111000000000000000
310201221000111120021112000
433113032102320000000
5114244112334320414
62124554511504000
7136162632202440
oct17271622700000
93657014507460
101055728041984
11377805a58740
12150735228000
1378729974205
14391517d2120
151c6dde23b09
hexf5ce4b8000

1055728041984 has 512 divisors, whose sum is σ = 3900139891200. Its totient is φ = 274197381120.

The previous prime is 1055728041961. The next prime is 1055728042009. The reversal of 1055728041984 is 4891408275501.

1055728041984 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 72 + 80 + 419 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×10557280419842 (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1055728041984.

It is a congruent number.

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, 68116924 + ... + 68132420.

It is an arithmetic number, because the mean of its divisors is an integer number (7617460725).

Almost surely, 21055728041984 is an apocalyptic number.

1055728041984 is a gapful number since it is divisible by the number (14) 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 1055728041984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950069945600).

1055728041984 is an abundant number, since it is smaller than the sum of its proper divisors (2844411849216).

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

1055728041984 is an equidigital number, since it uses as much as digits as its factorization.

1055728041984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15554 (or 15520 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 1055728041984 in words is "one trillion, fifty-five billion, seven hundred twenty-eight million, forty-one thousand, nine hundred eighty-four".