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1056588889104 = 2432759127139891
BaseRepresentation
bin11110110000000011001…
…10101111110000010000
310202000020111101211202200
433120001212233300100
5114302343223422404
62125220142443200
7136223154242010
oct17300146576020
93660214354680
101056588889104
11378107978941
12150935593500
137883610c7c8
14391d3c79c40
151c73e7b9839
hexf6019afc10

1056588889104 has 240 divisors, whose sum is σ = 3463770685440. Its totient is φ = 294427042560.

The previous prime is 1056588889099. The next prime is 1056588889129. The reversal of 1056588889104 is 4019888856501.

It is a super-2 number, since 2×10565888891042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7482999 + ... + 7622889.

It is an arithmetic number, because the mean of its divisors is an integer number (14432377856).

Almost surely, 21056588889104 is an apocalyptic number.

1056588889104 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 1056588889104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731885342720).

1056588889104 is an abundant number, since it is smaller than the sum of its proper divisors (2407181796336).

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

1056588889104 is a wasteful number, since it uses less digits than its factorization.

1056588889104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140098 (or 140089 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 63.

The spelling of 1056588889104 in words is "one trillion, fifty-six billion, five hundred eighty-eight million, eight hundred eighty-nine thousand, one hundred four".