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550252521104 = 241113431743751
BaseRepresentation
bin10000000000111011001…
…10110010011010010000
31221121022001012021200212
420000131212302122100
533003404121133404
61100441005103252
754516525154256
oct10003546623220
91847261167625
10550252521104
111a23a7226380
128a786557b28
133cb72303870
141c8bd2c85d6
15e4a775906e
hex801d9b2690

550252521104 has 160 divisors (see below), whose sum is σ = 1258767433728. Its totient is φ = 229723200000.

The previous prime is 550252521061. The next prime is 550252521107. The reversal of 550252521104 is 401125252055.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (550252521107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 732692729 + ... + 732693479.

Almost surely, 2550252521104 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 550252521104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629383716864).

550252521104 is an abundant number, since it is smaller than the sum of its proper divisors (708514912624).

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

550252521104 is a wasteful number, since it uses less digits than its factorization.

550252521104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 32.

Adding to 550252521104 its reverse (401125252055), we get a palindrome (951377773159).

The spelling of 550252521104 in words is "five hundred fifty billion, two hundred fifty-two million, five hundred twenty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 431 572 743 751 862 1144 1486 1502 1724 2288 2972 3004 3448 4741 5603 5944 6008 6896 8173 8261 9482 9659 9763 11206 11888 12016 16346 16522 18964 19318 19526 22412 32692 33044 37928 38636 39052 44824 61633 65384 66088 75856 77272 78104 89648 106249 107393 123266 130768 132176 154544 156208 212498 214786 246532 320233 323681 424996 429572 493064 557993 640466 647362 849992 859144 986128 1115986 1280932 1294724 1699984 1718288 2231972 2561864 2589448 3522563 3560491 4163029 4207853 4463944 5123728 5178896 6137923 7045126 7120982 7253909 8326058 8415706 8927888 12275846 14090252 14241964 14507818 16652116 16831412 24551692 28180504 28483928 29015636 33304232 33662824 45793319 46286383 49103384 56361008 56967856 58031272 66608464 67325648 79792999 91586638 92572766 98206768 116062544 159585998 183173276 185145532 240494983 319171996 366346552 370291064 480989966 638343992 732693104 740582128 961979932 1276687984 1923959864 2645444813 3126434779 3847919728 5290889626 6252869558 10581779252 12505739116 21163558504 25011478232 34390782569 42327117008 50022956464 68781565138 137563130276 275126260552 550252521104