Search a number
-
+
55513504032 = 2537591400159
BaseRepresentation
bin110011101100110111…
…001101100100100000
312022021211110012021220
4303230313031210200
51402142424112112
641300315015040
74003450666350
oct635467154440
9168254405256
1055513504032
11215a7a20258
12a91343a480
13530910114c
142988aa0b60
15169d93098c
hexcecdcd920

55513504032 has 96 divisors (see below), whose sum is σ = 169363353600. Its totient is φ = 15592159488.

The previous prime is 55513504027. The next prime is 55513504061. The reversal of 55513504032 is 23040531555.

It is a happy number.

55513504032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 55513503984 and 55513504002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 660432 + ... + 739727.

It is an arithmetic number, because the mean of its divisors is an integer number (1764201600).

Almost surely, 255513504032 is an apocalyptic number.

It is an amenable number.

55513504032 is an abundant number, since it is smaller than the sum of its proper divisors (113849849568).

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

55513504032 is a wasteful number, since it uses less digits than its factorization.

55513504032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400238 (or 1400230 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 33.

The spelling of 55513504032 in words is "fifty-five billion, five hundred thirteen million, five hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 84 96 112 118 168 177 224 236 336 354 413 472 672 708 826 944 1239 1416 1652 1888 2478 2832 3304 4956 5664 6608 9912 13216 19824 39648 1400159 2800318 4200477 5600636 8400954 9801113 11201272 16801908 19602226 22402544 29403339 33603816 39204452 44805088 58806678 67207632 78408904 82609381 117613356 134415264 156817808 165218762 235226712 247828143 313635616 330437524 470453424 495656286 578265667 660875048 940906848 991312572 1156531334 1321750096 1734797001 1982625144 2313062668 2643500192 3469594002 3965250288 4626125336 6939188004 7930500576 9252250672 13878376008 18504501344 27756752016 55513504032