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54893406249 = 32111743758521
BaseRepresentation
bin110011000111111001…
…101110100000101001
312020200121121222001100
4303013321232200221
51344410202444444
641115004112013
73652211153163
oct630771564051
9166617558040
1054893406249
1121309995650
12a77b835609
13523a7b9796
14292a5a5933
151664292e69
hexcc7e6e829

54893406249 has 48 divisors (see below), whose sum is σ = 93716910144. Its totient is φ = 30583526400.

The previous prime is 54893406229. The next prime is 54893406299. The reversal of 54893406249 is 94260439845.

54893406249 is a `hidden beast` number, since 5 + 4 + 8 + 9 + 3 + 4 + 0 + 624 + 9 = 666.

It is not a de Polignac number, because 54893406249 - 27 = 54893406121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54893406195 and 54893406204.

It is not an unprimeable number, because it can be changed into a prime (54893406229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306892 + ... + 451629.

It is an arithmetic number, because the mean of its divisors is an integer number (1952435628).

Almost surely, 254893406249 is an apocalyptic number.

It is an amenable number.

54893406249 is a deficient number, since it is larger than the sum of its proper divisors (38823503895).

54893406249 is a wasteful number, since it uses less digits than its factorization.

54893406249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758598 (or 758595 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 54893406249 in words is "fifty-four billion, eight hundred ninety-three million, four hundred six thousand, two hundred forty-nine".

Divisors: 1 3 9 11 17 33 43 51 99 129 153 187 387 473 561 731 1419 1683 2193 4257 6579 8041 24123 72369 758521 2275563 6826689 8343731 12894857 25031193 32616403 38684571 75093579 97849209 116053713 141843427 293547627 358780433 425530281 554478851 1076341299 1276590843 1663436553 3229023897 4990309659 6099267361 18297802083 54893406249