Search a number
-
+
55522671696 = 24331672692861
BaseRepresentation
bin110011101101011010…
…001011110001010000
312022022110200221222000
4303231122023301100
51402202300443241
641301243314000
74003621631262
oct635532136120
9168273627860
1055522671696
1121602112038
12a91651b900
13530ac90bbb
142989da9b32
15169e641eb6
hexced68bc50

55522671696 has 160 divisors (see below), whose sum is σ = 160977196800. Its totient is φ = 18321937920.

The previous prime is 55522671683. The next prime is 55522671779. The reversal of 55522671696 is 69617622555.

55522671696 is a `hidden beast` number, since 5 + 552 + 26 + 7 + 1 + 69 + 6 = 666.

55522671696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19405306 + ... + 19408166.

It is an arithmetic number, because the mean of its divisors is an integer number (1006107480).

Almost surely, 255522671696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55522671696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80488598400).

55522671696 is an abundant number, since it is smaller than the sum of its proper divisors (105454525104).

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

55522671696 is a wasteful number, since it uses less digits than its factorization.

55522671696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3314 (or 3302 counting only the distinct ones).

The product of its digits is 6804000, while the sum is 54.

The spelling of 55522671696 in words is "fifty-five billion, five hundred twenty-two million, six hundred seventy-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 167 216 269 334 432 501 538 668 807 1002 1076 1336 1503 1614 2004 2152 2421 2672 2861 3006 3228 4008 4304 4509 4842 5722 6012 6456 7263 8016 8583 9018 9684 11444 12024 12912 14526 17166 18036 19368 22888 24048 25749 29052 34332 36072 38736 44923 45776 51498 58104 68664 72144 77247 89846 102996 116208 134769 137328 154494 179692 205992 269538 308988 359384 404307 411984 477787 539076 617976 718768 769609 808614 955574 1078152 1212921 1235952 1433361 1539218 1617228 1911148 2156304 2308827 2425842 2866722 3078436 3234456 3822296 4300083 4617654 4851684 5733444 6156872 6468912 6926481 7644592 8600166 9235308 9703368 11466888 12313744 12900249 13852962 17200332 18470616 19406736 20779443 22933776 25800498 27705924 34400664 36941232 41558886 51600996 55411848 68801328 83117772 103201992 110823696 128524703 166235544 206403984 257049406 332471088 385574109 514098812 771148218 1028197624 1156722327 1542296436 2056395248 2313444654 3084592872 3470166981 4626889308 6169185744 6940333962 9253778616 13880667924 18507557232 27761335848 55522671696