Search a number
-
+
1055958563880 = 23345112171931269
BaseRepresentation
bin11110101110111000000…
…10001111110000101000
310201221121120100000010000
433113130002033300220
5114300100343021010
62125033424423000
7136201431461103
oct17273402176050
93657546300100
101055958563880
11377914098200
1215079a477a60
1378765656bbc
143917427b73a
151c7042ab7c0
hexf5dc08fc28

1055958563880 has 1920 divisors, whose sum is σ = 4505010048000. Its totient is φ = 220067020800.

The previous prime is 1055958563879. The next prime is 1055958563887. The reversal of 1055958563880 is 883658595501.

1055958563880 is a `hidden beast` number, since 1 + 0 + 5 + 595 + 8 + 5 + 6 + 38 + 8 + 0 = 666.

1055958563880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10559585638802 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1055958563887) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3925496386 + ... + 3925496654.

It is an arithmetic number, because the mean of its divisors is an integer number (2346359400).

Almost surely, 21055958563880 is an apocalyptic number.

1055958563880 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 1055958563880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252505024000).

1055958563880 is an abundant number, since it is smaller than the sum of its proper divisors (3449051484120).

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

1055958563880 is a wasteful number, since it uses less digits than its factorization.

1055958563880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 51840000, while the sum is 63.

The spelling of 1055958563880 in words is "one trillion, fifty-five billion, nine hundred fifty-eight million, five hundred sixty-three thousand, eight hundred eighty".