Search a number
-
+
55315299251355 = 351113195325608757
BaseRepresentation
bin11001001001111000110001…
…10000110011010010011011
321020212002110022102220200020
430210330120300303102123
524222241213102020410
6313351255255041523
714436253452536163
oct1444743060632233
9236762408386606
1055315299251355
11166970a53a6930
1262545859702a3
1324b3297159ca0
14d933bbd735a3
1565dd27c66a70
hex324f18c3349b

55315299251355 has 128 divisors (see below), whose sum is σ = 111514873236480. Its totient is φ = 23011003791360.

The previous prime is 55315299251351. The next prime is 55315299251363.

55315299251355 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55315299251355 - 22 = 55315299251351 is a prime.

It is not an unprimeable number, because it can be changed into a prime (55315299251351) 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, 10644364 + ... + 14964393.

It is an arithmetic number, because the mean of its divisors is an integer number (871209947160).

Almost surely, 255315299251355 is an apocalyptic number.

55315299251355 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55315299251355 is an abundant number, since it is smaller than the sum of its proper divisors (56199573985125).

55315299251355 is a wasteful number, since it uses less digits than its factorization.

55315299251355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25608861.

The product of its digits is 45562500, while the sum is 60.

The spelling of 55315299251355 in words is "fifty-five trillion, three hundred fifteen billion, two hundred ninety-nine million, two hundred fifty-one thousand, three hundred fifty-five".

Divisors: 1 3 5 11 13 15 19 33 39 53 55 57 65 95 143 159 165 195 209 247 265 285 429 583 627 689 715 741 795 1007 1045 1235 1749 2067 2145 2717 2915 3021 3135 3445 3705 5035 7579 8151 8745 10335 11077 13091 13585 15105 22737 33231 37895 39273 40755 55385 65455 113685 144001 166155 196365 432003 720005 2160015 25608757 76826271 128043785 281696327 332913841 384131355 486566383 845088981 998741523 1357264121 1408481635 1459699149 1664569205 2432831915 3662052251 4071792363 4225444905 4993707615 5352230213 6325362979 6786320605 7298495745 10986156753 14929905331 16056690639 17644433573 18310261255 18976088937 20358961815 25788018299 26761151065 31626814895 44789715993 52933300719 54930783765 69578992769 74649526655 77364054897 80283453195 88222167865 94880444685 128940091495 194088769303 208736978307 223948579965 264666503595 283668201289 335244237887 347894963845 386820274485 582266307909 851004603867 970443846515 1005732713661 1043684891535 1418341006445 1676221189435 2911331539545 3687686616757 4255023019335 5028663568305 11063059850271 18438433083785 55315299251355