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55769977996755 = 351137104927073217
BaseRepresentation
bin11001010111000111101011…
…01110100100010111010011
321022110120001122201100101120
430223203311232210113103
524302213403331344010
6314340212454333323
714514151021235121
oct1453436556442723
9238416048640346
1055769977996755
1116851a07727a10
12630871895a243
132517117966639
14dab3d1dc0911
1566aa89b4ee70
hex32b8f5ba45d3

55769977996755 has 128 divisors (see below), whose sum is σ = 100138269772800. Its totient is φ = 26266221527040.

The previous prime is 55769977996729. The next prime is 55769977996757.

55769977996755 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55769977996755 - 25 = 55769977996723 is a prime.

It is a super-2 number, since 2×557699779967552 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55769977996757) 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, 17336018907 + ... + 17336022123.

It is an arithmetic number, because the mean of its divisors is an integer number (782330232600).

Almost surely, 255769977996755 is an apocalyptic number.

55769977996755 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55769977996755 is a deficient number, since it is larger than the sum of its proper divisors (44368291776045).

55769977996755 is a wasteful number, since it uses less digits than its factorization.

55769977996755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7029.

The product of its digits is 354441622500, while the sum is 96.

The spelling of 55769977996755 in words is "fifty-five trillion, seven hundred sixty-nine billion, nine hundred seventy-seven million, nine hundred ninety-six thousand, seven hundred fifty-five".

Divisors: 1 3 5 11 15 33 37 55 111 165 185 407 555 1049 1221 2035 2707 3147 3217 5245 6105 8121 9651 11539 13535 15735 16085 29777 34617 35387 38813 40605 48255 57695 89331 100159 106161 116439 119029 148885 173085 176935 194065 300477 357087 426943 446655 500795 530805 582195 595145 1101749 1280829 1309319 1502385 1785435 2134715 2839643 3305247 3374633 3927957 5508745 6404145 6546595 8518929 8708419 10123899 14198215 16526235 16873165 19639785 26125257 31236073 37120963 42594645 43542095 50619495 93708219 95792609 105066791 111362889 124861421 130626285 156180365 185604815 287377827 315200373 322211503 374584263 468541095 478963045 525333955 556814445 624307105 966634509 1155734701 1373475631 1436889135 1576001865 1611057515 1872921315 3467204103 3544326533 4120426893 4833172545 5778673505 6867378155 9135131531 10632979599 17336020515 17721632665 20602134465 27405394593 45675657655 53164897995 100486446841 137026972965 301459340523 337999866647 502432234205 1013999599941 1507296702615 1689999333235 3717998533117 5069997999705 11153995599351 18589992665585 55769977996755