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5505582424272 = 2437101439136947
BaseRepresentation
bin101000000011101111001…
…0010001110000011010000
3201111022212111122101010020
41100013132102032003100
51210200413100034042
615413121334303440
71105523315314110
oct120073622160320
921438774571106
105505582424272
1118329a4825a37
1274b0284b7b80
1330c235924668
1415068615b040
159832d4a63ec
hex501de48e0d0

5505582424272 has 160 divisors (see below), whose sum is σ = 16419695929344. Its totient is φ = 1557052224000.

The previous prime is 5505582424267. The next prime is 5505582424289. The reversal of 5505582424272 is 2724242855055.

It is a super-2 number, since 2×55055824242722 (a number of 26 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 148994503 + ... + 149031449.

Almost surely, 25505582424272 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 5505582424272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8209847964672).

5505582424272 is an abundant number, since it is smaller than the sum of its proper divisors (10914113505072).

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

5505582424272 is a wasteful number, since it uses less digits than its factorization.

5505582424272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41457 (or 41451 counting only the distinct ones).

The product of its (nonzero) digits is 8960000, while the sum is 51.

The spelling of 5505582424272 in words is "five trillion, five hundred five billion, five hundred eighty-two million, four hundred twenty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 101 112 168 202 303 336 404 606 707 808 1212 1414 1616 2121 2424 2828 4242 4391 4848 5656 8484 8782 11312 13173 16968 17564 26346 30737 33936 35128 36947 52692 61474 70256 73894 92211 105384 110841 122948 147788 184422 210768 221682 245896 258629 295576 368844 443364 443491 491792 517258 591152 737688 775887 886728 886982 1034516 1330473 1475376 1551774 1773456 1773964 2069032 2660946 3103548 3104437 3547928 3731647 4138064 5321892 6207096 6208874 7095856 7463294 9313311 10643784 11194941 12414192 12417748 14926588 18626622 21287568 22389882 24835496 26121529 29853176 37253244 44779764 49670992 52243058 59706352 74506488 78364587 89559528 104486116 149012976 156729174 162234277 179119056 208972232 313458348 324468554 417944464 486702831 626916696 648937108 973405662 1135639939 1253833392 1297874216 1946811324 2271279878 2595748432 3406919817 3893622648 4542559756 6813839634 7787245296 9085119512 13627679268 16385661977 18170239024 27255358536 32771323954 49156985931 54510717072 65542647908 98313971862 114699633839 131085295816 196627943724 229399267678 262170591632 344098901517 393255887448 458798535356 688197803034 786511774896 917597070712 1376395606068 1835194141424 2752791212136 5505582424272