Search a number
-
+
54454573971 = 3571912713267
BaseRepresentation
bin110010101101101111…
…101101101110010011
312012120000212222100000
4302231233231232103
51343010332331341
641003250301043
73635302145610
oct625557555623
9165500788300
1054454573971
1121104207446
12a678887783
13519a900005
1428c81b3507
15163a9ad8b6
hexcadbedb93

54454573971 has 96 divisors (see below), whose sum is σ = 98909224960. Its totient is φ = 29244843936.

The previous prime is 54454573967. The next prime is 54454574003. The reversal of 54454573971 is 17937545445.

54454573971 is a `hidden beast` number, since 5 + 4 + 4 + 545 + 7 + 3 + 97 + 1 = 666.

It is not a de Polignac number, because 54454573971 - 22 = 54454573967 is a prime.

It is a super-2 number, since 2×544545739712 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54454573471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4097880 + ... + 4111146.

Almost surely, 254454573971 is an apocalyptic number.

54454573971 is a deficient number, since it is larger than the sum of its proper divisors (44454650989).

54454573971 is a wasteful number, since it uses less digits than its factorization.

54454573971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13435 (or 13423 counting only the distinct ones).

The product of its digits is 10584000, while the sum is 54.

The spelling of 54454573971 in words is "fifty-four billion, four hundred fifty-four million, five hundred seventy-three thousand, nine hundred seventy-one".

Divisors: 1 3 7 9 19 21 27 57 63 81 127 133 171 189 243 381 399 513 567 889 1143 1197 1539 1701 2413 2667 3429 3591 4617 7239 8001 10287 10773 13267 16891 21717 24003 30861 32319 39801 50673 65151 72009 92869 119403 152019 195453 216027 252073 278607 358209 456057 586359 756219 835821 1074627 1368171 1684909 1764511 2268657 2507463 3223881 4104513 5054727 5293533 6805971 7522389 11794363 15164181 15880599 20417913 22567167 32013271 35383089 45492543 47641797 61253739 96039813 106149267 136477629 142925391 224092897 288119439 318447801 409432887 428776173 672278691 864358317 955343403 2016836073 2593074951 2866030209 6050508219 7779224853 18151524657 54454573971