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53268816172416 = 2731317627696269
BaseRepresentation
bin11000001110010100111001…
…10111011001010110000000
320222121110010101110222210220
430013022130313121112000
523440224013420004131
6305143204544223040
714135354631431415
oct1407123467312600
9228543111428726
1053268816172416
1115a781a6017929
125b83a2a90aa80
1323952c66683a0
14d2231dcb810c
1562599e044e96
hex30729cdd9580

53268816172416 has 128 divisors (see below), whose sum is σ = 161343049240800. Its totient is φ = 15426263482368.

The previous prime is 53268816172261. The next prime is 53268816172417. The reversal of 53268816172416 is 61427161886235.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 53268816172416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53268816172417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313763271 + ... + 313932998.

Almost surely, 253268816172416 is an apocalyptic number.

It is an amenable number.

53268816172416 is an abundant number, since it is smaller than the sum of its proper divisors (108074233068384).

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

53268816172416 is a wasteful number, since it uses less digits than its factorization.

53268816172416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627696316 (or 627696304 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 60.

The spelling of 53268816172416 in words is "fifty-three trillion, two hundred sixty-eight billion, eight hundred sixteen million, one hundred seventy-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 192 204 208 221 272 312 384 408 416 442 544 624 663 816 832 884 1088 1248 1326 1632 1664 1768 2176 2496 2652 3264 3536 4992 5304 6528 7072 10608 14144 21216 28288 42432 84864 627696269 1255392538 1883088807 2510785076 3766177614 5021570152 7532355228 8160051497 10043140304 10670836573 15064710456 16320102994 20086280608 21341673146 24480154491 30129420912 32012509719 32640205988 40172561216 42683346292 48960308982 60258841824 64025019438 65280411976 80345122432 85366692584 97920617964 120517683648 128050038876 130560823952 138720875449 170733385168 195841235928 241035367296 256100077752 261121647904 277441750898 341466770336 391682471856 416162626347 512200155504 522243295808 554883501796 682933540672 783364943712 832325252694 1024400311008 1044486591616 1109767003592 1365867081344 1566729887424 1664650505388 2048800622016 2219534007184 3133459774848 3329301010776 4097601244032 4439068014368 6658602021552 8878136028736 13317204043104 17756272057472 26634408086208 53268816172416