Search a number
-
+
54585009997 = 71719531732633
BaseRepresentation
bin110010110101100001…
…010010011101001101
312012220010022210220221
4302311201102131031
51343242230304442
641024230111341
73641444633560
oct626541223515
9165803283827
1054585009997
11211708a6a11
12a6b44ab551
1351bb93c0ab
1428db6484d7
151647176467
hexcb585274d

54585009997 has 64 divisors (see below), whose sum is σ = 71277304320. Its totient is φ = 40678170624.

The previous prime is 54585009979. The next prime is 54585010003. The reversal of 54585009997 is 79990058545.

54585009997 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54585009997 - 223 = 54576621389 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54585009197) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20729793 + ... + 20732425.

It is an arithmetic number, because the mean of its divisors is an integer number (1113707880).

Almost surely, 254585009997 is an apocalyptic number.

It is an amenable number.

54585009997 is a deficient number, since it is larger than the sum of its proper divisors (16692294323).

54585009997 is a wasteful number, since it uses less digits than its factorization.

54585009997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2902.

The product of its (nonzero) digits is 20412000, while the sum is 61.

The spelling of 54585009997 in words is "fifty-four billion, five hundred eighty-five million, nine thousand, nine hundred ninety-seven".

Divisors: 1 7 17 19 53 119 133 173 323 371 901 1007 1211 2261 2633 2941 3287 6307 7049 9169 17119 18431 20587 23009 44761 50027 55879 64183 119833 139549 155873 174211 313327 350189 391153 455509 850459 976843 1091111 1219477 2372333 2651431 2961587 3188563 5953213 7743653 8654671 16606331 18560017 20731109 24141977 45074327 54205571 60582697 147129407 168993839 315520289 410413609 458697563 1029905849 2872895263 3210882941 7797858571 54585009997