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55523223410240 = 265397747758453
BaseRepresentation
bin11001001111111100000100…
…00000100001011001000000
321021120222010220102120121202
430213332002000201121000
524234143030143111430
6314031003335240332
714460264143661215
oct1447760200413100
9237528126376552
1055523223410240
11167672a3144973
1262889332190a8
1324c9a82086b71
14d9d4a4619b0c
15664446c04d45
hex327f82021640

55523223410240 has 112 divisors (see below), whose sum is σ = 132567705483312. Its totient is φ = 22150004760576.

The previous prime is 55523223410233. The next prime is 55523223410267. The reversal of 55523223410240 is 4201432232555.

It can be written as a sum of positive squares in 8 ways, for example, as 12855931456 + 55510367478784 = 113384^2 + 7450528^2 .

It is a junction number, because it is equal to n+sod(n) for n = 55523223410194 and 55523223410203.

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 15 ways as a sum of consecutive naturals, for example, 949848854 + ... + 949907306.

Almost surely, 255523223410240 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 55523223410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66283852741656).

55523223410240 is an abundant number, since it is smaller than the sum of its proper divisors (77044482073072).

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

55523223410240 is a wasteful number, since it uses less digits than its factorization.

55523223410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66344 (or 66334 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 38.

Adding to 55523223410240 its reverse (4201432232555), we get a palindrome (59724655642795).

The spelling of 55523223410240 in words is "fifty-five trillion, five hundred twenty-three billion, two hundred twenty-three million, four hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 397 794 1588 1985 3176 3970 6352 7477 7940 12704 14954 15880 25408 29908 31760 37385 58453 59816 63520 74770 116906 119632 127040 149540 233812 239264 292265 299080 467624 478528 584530 598160 935248 1169060 1196320 1870496 2338120 2392640 2968369 3740992 4676240 5936738 9352480 11873476 14841845 18704960 23205841 23746952 29683690 46411682 47493904 59367380 92823364 94987808 116029205 118734760 185646728 189975616 232058410 237469520 371293456 437053081 464116820 474939040 742586912 874106162 928233640 949878080 1485173824 1748212324 1856467280 2185265405 3496424648 3712934560 4370530810 6992849296 7425869120 8741061620 13985698592 17482123240 27971397184 34964246480 69928492960 139856985920 173510073157 347020146314 694040292628 867550365785 1388080585256 1735100731570 2776161170512 3470201463140 5552322341024 6940402926280 11104644682048 13880805852560 27761611705120 55523223410240