Search a number
-
+
7055573171920 = 2457132149509983
BaseRepresentation
bin110011010101100000011…
…1011101011111011010000
3220222111200000200121121221
41212223000323223323100
51411044303213000140
623001141403254424
71325514452301460
oct146530073537320
926874600617557
107055573171920
1122802851319a9
1295b50121a414
133c2450bbb500
141a56c4bc9ba0
15c37e94b914a
hex66ac0eebed0

7055573171920 has 480 divisors, whose sum is σ = 20497955904000. Its totient is φ = 2211376766976.

The previous prime is 7055573171897. The next prime is 7055573171939. The reversal of 7055573171920 is 291713755507.

It is a super-2 number, since 2×70555731719202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7177591749 + ... + 7177592731.

It is an arithmetic number, because the mean of its divisors is an integer number (42704074800).

Almost surely, 27055573171920 is an apocalyptic number.

7055573171920 is a gapful number since it is divisible by the number (70) 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 7055573171920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10248977952000).

7055573171920 is an abundant number, since it is smaller than the sum of its proper divisors (13442382732080).

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

7055573171920 is a wasteful number, since it uses less digits than its factorization.

7055573171920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 2315250, while the sum is 52.

The spelling of 7055573171920 in words is "seven trillion, fifty-five billion, five hundred seventy-three million, one hundred seventy-one thousand, nine hundred twenty".