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14528873928976 = 24112866292
BaseRepresentation
bin1101001101101100010001…
…0111101001100100010000
31220102221120012112020022221
43103123010113221210100
53401020113211211401
650522250022510424
73026451016520041
oct323330427514420
956387505466287
1014528873928976
1146a172a625300
121767962595414
138150b40885a4
143832b63328c8
151a2de18747a1
hexd36c45e9910

14528873928976 has 45 divisors (see below), whose sum is σ = 30941755527333. Its totient is φ = 6603957370560.

The previous prime is 14528873928973. The next prime is 14528873928979. The reversal of 14528873928976 is 67982937882541.

The square root of 14528873928976 is 3811676.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (14528873928973) and next prime (14528873928979).

It can be written as a sum of positive squares in only one way, i.e., 7545327759376 + 6983546169600 = 2746876^2 + 2642640^2 .

It is a super-2 number, since 2×145288739289762 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14528873928896 and 14528873928905.

It is not an unprimeable number, because it can be changed into a prime (14528873928973) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 167670430 + ... + 167757058.

Almost surely, 214528873928976 is an apocalyptic number.

14528873928976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14528873928976 is the 3811676-th square number.

It is an amenable number.

14528873928976 is an abundant number, since it is smaller than the sum of its proper divisors (16412881598357).

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

14528873928976 is an frugal number, since it uses more digits than its factorization.

14528873928976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173288 (or 86642 counting only the distinct ones).

The product of its digits is 2926264320, while the sum is 79.

The spelling of 14528873928976 in words is "fourteen trillion, five hundred twenty-eight billion, eight hundred seventy-three million, nine hundred twenty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 86629 173258 346516 693032 952919 1386064 1905838 3811676 7623352 10482109 15246704 20964218 41928436 83856872 167713744 7504583641 15009167282 30018334564 60036669128 82550420051 120073338256 165100840102 330201680204 660403360408 908054620561 1320806720816 1816109241122 3632218482244 7264436964488 14528873928976