Search a number
-
+
1975580027456 = 2672629968121
BaseRepresentation
bin11100101111111001101…
…111101110101001000000
320222212022120100201020112
4130233321233232221000
5224331441441334311
64111322520130452
7262505500106600
oct34577157565100
96885276321215
101975580027456
116a1925470aa2
1227aa69906a28
131143b1252989
146b893570c00
15365c91d028b
hex1cbf9beea40

1975580027456 has 42 divisors (see below), whose sum is σ = 4560339235158. Its totient is φ = 846677153280.

The previous prime is 1975580027441. The next prime is 1975580027521. The reversal of 1975580027456 is 6547200855791.

It can be written as a sum of positive squares in only one way, i.e., 1785323545600 + 190256481856 = 1336160^2 + 436184^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1975580027395 and 1975580027404.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 314980925 + ... + 314987196.

It is an arithmetic number, because the mean of its divisors is an integer number (108579505599).

Almost surely, 21975580027456 is an apocalyptic number.

1975580027456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1975580027456 is an abundant number, since it is smaller than the sum of its proper divisors (2584759207702).

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

1975580027456 is an equidigital number, since it uses as much as digits as its factorization.

1975580027456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629968147 (or 629968130 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 59.

The spelling of 1975580027456 in words is "one trillion, nine hundred seventy-five billion, five hundred eighty million, twenty-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 629968121 1259936242 2519872484 4409776847 5039744968 8819553694 10079489936 17639107388 20158979872 30868437929 35278214776 40317959744 61736875858 70556429552 123473751716 141112859104 246947503432 282225718208 493895006864 987790013728 1975580027456