Search a number
-
+
55577861064 = 233211531324039
BaseRepresentation
bin110011110000101100…
…101101101111001000
312022110022112212112200
4303300230231233020
51402310413023224
641310534240200
74005162011235
oct636054555710
9168408485480
1055577861064
1121630287690
12a930ab6060
13531954532b
14299345478c
1516a43e45c9
hexcf0b2dbc8

55577861064 has 96 divisors (see below), whose sum is σ = 167305694400. Its totient is φ = 16523994240.

The previous prime is 55577861063. The next prime is 55577861083. The reversal of 55577861064 is 46016877555.

It is a happy number.

55577861064 is a `hidden beast` number, since 5 + 5 + 577 + 8 + 6 + 1 + 0 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 55577861064.

It is not an unprimeable number, because it can be changed into a prime (55577861063) 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 23 ways as a sum of consecutive naturals, for example, 620044 + ... + 703995.

It is an arithmetic number, because the mean of its divisors is an integer number (1742767650).

Almost surely, 255577861064 is an apocalyptic number.

It is an amenable number.

55577861064 is an abundant number, since it is smaller than the sum of its proper divisors (111727833336).

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

55577861064 is a wasteful number, since it uses less digits than its factorization.

55577861064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324115 (or 1324108 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 55577861064 in words is "fifty-five billion, five hundred seventy-seven million, eight hundred sixty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 53 66 72 88 99 106 132 159 198 212 264 318 396 424 477 583 636 792 954 1166 1272 1749 1908 2332 3498 3816 4664 5247 6996 10494 13992 20988 41976 1324039 2648078 3972117 5296156 7944234 10592312 11916351 14564429 15888468 23832702 29128858 31776936 43693287 47665404 58257716 70174067 87386574 95330808 116515432 131079861 140348134 174773148 210522201 262159722 280696268 349546296 421044402 524319444 561392536 631566603 771914737 842088804 1048638888 1263133206 1543829474 1684177608 2315744211 2526266412 3087658948 4631488422 5052532824 6175317896 6947232633 9262976844 13894465266 18525953688 27788930532 55577861064