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55352588525355 = 351113119155724071
BaseRepresentation
bin11001001010111110001110…
…11000000101111100101011
321020222122201001210022011110
430211133013120011330223
524223344100130302410
6313420343401401403
714442043513251552
oct1445370730057453
9236878631708143
1055352588525355
11167009a0202350
12625b851a99263
1324b695a73b964
14d95118518d99
1565ecab79a720
hex3257c7605f2b

55352588525355 has 128 divisors (see below), whose sum is σ = 98042419740672. Its totient is φ = 26444649920000.

The previous prime is 55352588525317. The next prime is 55352588525359.

55352588525355 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55352588525355 - 28 = 55352588525099 is a prime.

It is not an unprimeable number, because it can be changed into a prime (55352588525359) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2299542970 + ... + 2299567040.

It is an arithmetic number, because the mean of its divisors is an integer number (765956404224).

Almost surely, 255352588525355 is an apocalyptic number.

55352588525355 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55352588525355 is a deficient number, since it is larger than the sum of its proper divisors (42689831215317).

55352588525355 is a wasteful number, since it uses less digits than its factorization.

55352588525355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24969.

The product of its digits is 900000000, while the sum is 66.

The spelling of 55352588525355 in words is "fifty-five trillion, three hundred fifty-two billion, five hundred eighty-eight million, five hundred twenty-five thousand, three hundred fifty-five".

Divisors: 1 3 5 11 15 33 55 131 165 191 393 557 573 655 955 1441 1671 1965 2101 2785 2865 4323 6127 6303 7205 8355 10505 18381 21615 24071 25021 30635 31515 72213 72967 75063 91905 106387 120355 125105 218901 264781 275231 319161 361065 364835 375315 531935 794343 802637 825693 1094505 1170257 1323905 1376155 1595805 2407911 3153301 3510771 3971715 4013185 4128465 4597561 5851285 9459903 12039555 13407547 13792683 13936697 15766505 17553855 22987805 34686311 40222641 41810091 47299515 50573171 67037735 68963415 69683485 104058933 147483017 151719513 153303667 173431555 201113205 209050455 252865855 442449051 459911001 520294665 602280491 737415085 758597565 766518335 1756388657 1806841473 2212245255 2299555005 2560841477 3011402455 5269165971 6625085401 7682524431 8781943285 9034207365 12804207385 19320275227 19875256203 26345829855 28169256247 33125427005 38412622155 57960825681 84507768741 96601376135 99376281015 140846281235 289804128405 335470233487 422538843705 1006410700461 1677351167435 3690172568357 5032053502305 11070517705071 18450862841785 55352588525355