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5162052612032 = 262961149330539
BaseRepresentation
bin100101100011110001001…
…0011111110111111000000
3200021111011022200202202222
41023013202103332333000
51134033340432041112
614551225250230212
71041642322144031
oct113074223767700
920244138622688
105162052612032
11171023a1414a8
126b4534b85368
132b5a19669504
1413bbb7b2ca88
158e4244b5372
hex4b1e24fefc0

5162052612032 has 112 divisors (see below), whose sum is σ = 10777953247200. Its totient is φ = 2449450536960.

The previous prime is 5162052611981. The next prime is 5162052612091. The reversal of 5162052612032 is 2302162502615.

It is a super-2 number, since 2×51620526120322 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5162052611983 and 5162052612001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169016219 + ... + 169046757.

Almost surely, 25162052612032 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 5162052612032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5388976623600).

5162052612032 is an abundant number, since it is smaller than the sum of its proper divisors (5615900635168).

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

5162052612032 is a wasteful number, since it uses less digits than its factorization.

5162052612032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32134 (or 32124 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 5162052612032 in words is "five trillion, one hundred sixty-two billion, fifty-two million, six hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 29 32 58 61 64 116 122 232 244 464 488 928 976 1493 1769 1856 1952 2986 3538 3904 5972 7076 11944 14152 23888 28304 30539 43297 47776 56608 61078 86594 91073 95552 113216 122156 173188 182146 244312 346376 364292 488624 692752 728584 885631 977248 1385504 1457168 1771262 1862879 1954496 2641117 2771008 2914336 3542524 3725758 5282234 5828672 7085048 7451516 10564468 14170096 14903032 21128936 28340192 29806064 42257872 45594727 54023491 56680384 59612128 84515744 91189454 108046982 119224256 169031488 182378908 216093964 364757816 432187928 729515632 864375856 1322247083 1459031264 1728751712 2644494166 2781278347 2918062528 3457503424 5288988332 5562556694 10577976664 11125113388 21155953328 22250226776 42311906656 44500453552 80657072063 84623813312 89000907104 161314144126 178001814208 322628288252 645256576504 1290513153008 2581026306016 5162052612032