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53169942111616 = 2711733531465433
BaseRepresentation
bin11000001011011100101111…
…00000110010010110000000
320222020222220200111021210001
430011232113200302112000
523432114020140032431
6305025533442045344
714125254505662451
oct1405562740622600
9228228820437701
1053169942111616
1115a3a2782035a0
125b68836049854
132388b9a1bc175
14d1b6205c9128
15623113ab6e61
hex305b97832580

53169942111616 has 128 divisors (see below), whose sum is σ = 117468837735840. Its totient is φ = 23769541509120.

The previous prime is 53169942111599. The next prime is 53169942111641. The reversal of 53169942111616 is 61611124996135.

It is a happy number.

53169942111616 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35550036 + ... + 37015468.

Almost surely, 253169942111616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53169942111616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58734418867920).

53169942111616 is an abundant number, since it is smaller than the sum of its proper divisors (64298895624224).

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

53169942111616 is a wasteful number, since it uses less digits than its factorization.

53169942111616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465884 (or 1465872 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 55.

The spelling of 53169942111616 in words is "fifty-three trillion, one hundred sixty-nine billion, nine hundred forty-two million, one hundred eleven thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 73 88 128 146 176 292 352 353 584 704 706 803 1168 1408 1412 1606 2336 2824 3212 3883 4672 5648 6424 7766 9344 11296 12848 15532 22592 25696 25769 31064 45184 51392 51538 62128 102784 103076 124256 206152 248512 283459 412304 497024 566918 824608 1133836 1465433 1649216 2267672 2930866 3298432 4535344 5861732 9070688 11723464 16119763 18141376 23446928 32239526 36282752 46893856 64479052 93787712 106976609 128958104 187575424 213953218 257916208 427906436 515832416 517297849 855812872 1031664832 1034595698 1176742699 1711625744 2063329664 2069191396 2353485398 3423251488 4138382792 4706970796 5690276339 6846502976 8276765584 9413941592 11380552678 13693005952 16553531168 18827883184 22761105356 33107062336 37655766368 37762742977 45522210712 66214124672 75311532736 75525485954 91044421424 150623065472 151050971908 182088842848 302101943816 364177685696 415390172747 604203887632 728355371392 830780345494 1208407775264 1661560690988 2416815550528 3323121381976 4833631101056 6646242763952 13292485527904 26584971055808 53169942111616