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55331400413355 = 35113786313737649
BaseRepresentation
bin11001001010010110110000…
…11101110111000010101011
321020220122000102121200122120
430211023120131313002223
524223022202001211410
6313402521110522323
714440363453261353
oct1445133035670253
9236818012550576
1055331400413355
11166a2a08057190
12625771a0663a3
1324b4961b72891
14d940a8519b63
1565e46b591570
hex3252d87770ab

55331400413355 has 128 divisors (see below), whose sum is σ = 99388925337600. Its totient is φ = 26049641103360.

The previous prime is 55331400413209. The next prime is 55331400413381.

55331400413355 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55331400413355 - 220 = 55331399364779 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7233804571 + ... + 7233812219.

It is an arithmetic number, because the mean of its divisors is an integer number (776475979200).

Almost surely, 255331400413355 is an apocalyptic number.

55331400413355 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55331400413355 is a deficient number, since it is larger than the sum of its proper divisors (44057524924245).

55331400413355 is a wasteful number, since it uses less digits than its factorization.

55331400413355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9941.

The product of its (nonzero) digits is 810000, while the sum is 42.

It can be divided in two parts, 55331400 and 413355, that added together give a palindrome (55744755).

The spelling of 55331400413355 in words is "fifty-five trillion, three hundred thirty-one billion, four hundred million, four hundred thirteen thousand, three hundred fifty-five".

Divisors: 1 3 5 11 15 33 37 55 111 165 185 407 555 863 1221 1373 2035 2589 4119 4315 6105 6865 7649 9493 12945 15103 20595 22947 28479 31931 38245 45309 47465 50801 75515 84139 95793 114735 142395 152403 159655 226545 252417 254005 283013 351241 420695 478965 558811 762015 849039 1053723 1184899 1262085 1415065 1676433 1756205 2794055 3113143 3554697 4245195 5268615 5924495 6601087 8382165 9339429 10502077 13033889 15565715 17773485 19803261 31506231 33005435 39101667 43841263 46697145 52510385 65169445 72611957 99016305 115522847 131523789 157531155 195508335 217835871 219206315 244240219 346568541 363059785 388576849 482253893 577614235 657618945 732720657 1089179355 1165730547 1221201095 1446761679 1732842705 1942884245 2411269465 2686642409 3663603285 4274345339 5828652735 7233808395 8059927227 9063292451 12823036017 13433212045 21371726695 27189877353 40299636135 45316462255 64115180085 99696216961 135949386765 299088650883 335341820687 498481084805 1006025462061 1495443254415 1676709103435 3688760027557 5030127310305 11066280082671 18443800137785 55331400413355