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55263244236255 = 33511292335507519
BaseRepresentation
bin11001001000010111110100…
…00010101011010111011111
321020200010002111202011022000
430210023322002223113133
524220413111011030010
6313311330043253343
714432431465315566
oct1444137202532737
9236603074664260
1055263244236255
11166770127305a0
12624647881a253
1324ab3bc71cbc3
14d90a80746bdd
1565c7ccc937c0
hex3242fa0ab5df

55263244236255 has 128 divisors (see below), whose sum is σ = 111348836352000. Its totient is φ = 25759322588160.

The previous prime is 55263244236253. The next prime is 55263244236287.

55263244236255 is a `hidden beast` number, since 5 + 5 + 2 + 6 + 3 + 2 + 4 + 4 + 2 + 3 + 625 + 5 = 666.

55263244236255 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55263244236255 - 21 = 55263244236253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55263244236253) 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, 7280386 + ... + 12787904.

It is an arithmetic number, because the mean of its divisors is an integer number (869912784000).

Almost surely, 255263244236255 is an apocalyptic number.

55263244236255 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55263244236255 is an abundant number, since it is smaller than the sum of its proper divisors (56085592115745).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55263244236255 is a wasteful number, since it uses less digits than its factorization.

55263244236255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5507806 (or 5507800 counting only the distinct ones).

The product of its digits is 51840000, while the sum is 54.

The spelling of 55263244236255 in words is "fifty-five trillion, two hundred sixty-three billion, two hundred forty-four million, two hundred thirty-six thousand, two hundred fifty-five".

Divisors: 1 3 5 9 11 15 27 29 33 45 55 87 99 135 145 165 233 261 297 319 435 495 699 783 957 1165 1305 1485 1595 2097 2563 2871 3495 3915 4785 6291 6757 7689 8613 10485 12815 14355 20271 23067 31455 33785 38445 43065 60813 69201 74327 101355 115335 182439 222981 304065 346005 371635 668943 912195 1114905 2006829 3344715 5507519 10034145 16522557 27537595 49567671 60582709 82612785 148703013 159718051 181748127 247838355 302913545 479154153 545244381 743515065 798590255 908740635 1283251927 1437462459 1635733143 1756898561 2395770765 2726221905 3849755781 4312387377 5270695683 6416259635 7187312295 8178665715 8784492805 11549267343 14115771197 15812087049 19248778905 21561936885 26353478415 34647802029 37214305883 42347313591 47436261147 57746336715 70578855985 79060435245 111642917649 127041940773 173239010145 186071529415 211736567955 237181305735 334928752947 381125822319 409357364713 558214588245 635209703865 1004786258841 1228072094139 1674643764735 1905629111595 2046786823565 3684216282417 5023931294205 6140360470695 11052648847251 18421081412085 55263244236255