Search a number
-
+
1100665552896 = 21535731331
BaseRepresentation
bin10000000001000100110…
…001111000000000000000
310220020000021102100200000
4100001010301320000000
5121013130340143041
62201345550400000
7142343342556000
oct20010461700000
93806007370600
101100665552896
11394876012808
12159396800000
137ca3b946460
143b3b5a36000
151d96e11bbb6
hex10044c78000

1100665552896 has 1536 divisors, whose sum is σ = 4274769408000. Its totient is φ = 280921374720.

The previous prime is 1100665552867. The next prime is 1100665552933. The reversal of 1100665552896 is 6982555660011.

1100665552896 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 6 + 6 + 5 + 552 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×11006655528962 (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35505340401 + ... + 35505340431.

It is an arithmetic number, because the mean of its divisors is an integer number (2783053000).

Almost surely, 21100665552896 is an apocalyptic number.

1100665552896 is a gapful number since it is divisible by the number (16) 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 1100665552896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137384704000).

1100665552896 is an abundant number, since it is smaller than the sum of its proper divisors (3174103855104).

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

1100665552896 is an frugal number, since it uses more digits than its factorization.

1100665552896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

It can be divided in two parts, 1100665 and 552896, that added together give a palindrome (1653561).

The spelling of 1100665552896 in words is "one trillion, one hundred billion, six hundred sixty-five million, five hundred fifty-two thousand, eight hundred ninety-six".