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55005005076 = 22372971079013
BaseRepresentation
bin110011001110100011…
…011100010100010100
312020222101121202212020
4303032203130110110
51400122240130301
641134032053140
73655034554200
oct631643342424
9166871552766
1055005005076
112136698948a
12a7b10941b0
1352579617a8
14293b335b00
15166de89436
hexcce8dc514

55005005076 has 144 divisors (see below), whose sum is σ = 152265064896. Its totient is φ = 15406626816.

The previous prime is 55005005063. The next prime is 55005005101. The reversal of 55005005076 is 67050050055.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6098346 + ... + 6107358.

It is an arithmetic number, because the mean of its divisors is an integer number (1057396284).

Almost surely, 255005005076 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 55005005076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76132532448).

55005005076 is an abundant number, since it is smaller than the sum of its proper divisors (97260059820).

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

55005005076 is a wasteful number, since it uses less digits than its factorization.

55005005076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9238 (or 9229 counting only the distinct ones).

The product of its (nonzero) digits is 26250, while the sum is 33.

The spelling of 55005005076 in words is "fifty-five billion, five million, five thousand, seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 97 98 107 147 194 196 214 291 294 321 388 428 582 588 642 679 749 1164 1284 1358 1498 2037 2247 2716 2996 4074 4494 4753 5243 8148 8988 9013 9506 10379 10486 14259 15729 18026 19012 20758 20972 27039 28518 31137 31458 36052 41516 54078 57036 62274 62916 63091 72653 108156 124548 126182 145306 189273 217959 252364 290612 378546 435918 441637 508571 757092 871836 874261 883274 964391 1017142 1324911 1525713 1748522 1766548 1928782 2034284 2622783 2649822 2893173 3051426 3497044 3857564 5245566 5299644 5786346 6102852 6119827 6750737 10491132 11572692 12239654 13501474 18359481 20252211 24479308 27002948 36718962 40504422 42838789 47255159 73437924 81008844 85677578 93545927 94510318 128516367 141765477 171355156 187091854 189020636 257032734 280637781 283530954 374183708 514065468 561275562 567061908 654821489 1122551124 1309642978 1964464467 2619285956 3928928934 4583750423 7857857868 9167500846 13751251269 18335001692 27502502538 55005005076