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55639700793655 = 511294312723392731
BaseRepresentation
bin11001010011010101000001…
…00110011110100100110111
321022000002210102011201121021
430221222200212132210313
524243100101400344110
6314200305314002011
714501556440256346
oct1451524046364467
9238002712151537
1055639700793655
1116801734635010
1262a741b276307
132507a55516504
14da4d93b97b5d
156674b27d22da
hex329aa099e937

55639700793655 has 128 divisors (see below), whose sum is σ = 77770152345600. Its totient is φ = 37830755289600.

The previous prime is 55639700793641. The next prime is 55639700793661.

55639700793655 is nontrivially palindromic in base 10.

55639700793655 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 55639700793655 - 29 = 55639700793143 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20373378640 + ... + 20373381370.

It is an arithmetic number, because the mean of its divisors is an integer number (607579315200).

Almost surely, 255639700793655 is an apocalyptic number.

55639700793655 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55639700793655 is a deficient number, since it is larger than the sum of its proper divisors (22130451551945).

55639700793655 is a wasteful number, since it uses less digits than its factorization.

55639700793655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5285.

The product of its (nonzero) digits is 803722500, while the sum is 70.

The spelling of 55639700793655 in words is "fifty-five trillion, six hundred thirty-nine billion, seven hundred million, seven hundred ninety-three thousand, six hundred fifty-five".

Divisors: 1 5 11 29 43 55 127 145 215 319 473 635 1247 1397 1595 2339 2365 2731 3683 5461 6235 6985 11695 13655 13717 18415 25729 27305 30041 40513 60071 67831 68585 79199 100577 117433 128645 150205 158369 202565 297053 300355 339155 346837 395995 502885 587165 746141 791845 871189 1106347 1291763 1485265 1734185 1742059 2916733 3267583 3405557 3730705 3815207 4355945 5531735 6387809 6458815 8614537 8710295 10058273 12773279 14583665 14913991 16337915 17027785 19076035 31939045 32084063 37461127 43072685 50291365 63866395 70265899 74569955 94759907 110641003 140506069 160420315 164053901 185246461 187305635 274675787 351329495 370425091 432505739 473799535 553205015 702530345 811251743 820269505 926232305 1373378935 1852125455 2037711071 2162528695 3021433657 4056258715 4074676001 4757563129 7965597823 8923769173 10188555355 15107168285 20373380005 23526300547 23787815645 34883824949 39827989115 44618845865 87621576053 117631502735 174419124745 258789306017 383722074439 438107880265 1011630923521 1293946530085 1918610372195 5058154617605 11127940158731 55639700793655