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2100532732336 = 242937733166919
BaseRepresentation
bin11110100100010001100…
…000011110000110110000
321102210211201220210121001
4132210101200132012300
5233403342334413321
64244545454211344
7304521105426043
oct36442140360660
97383751823531
102100532732336
1173a915a6a645
1229b1201b3b54
1312310554973c
1473948586c5a
153998dd98c91
hex1e91181e1b0

2100532732336 has 80 divisors (see below), whose sum is σ = 4329831355200. Its totient is φ = 985291582464.

The previous prime is 2100532732313. The next prime is 2100532732387. The reversal of 2100532732336 is 6332372350012.

It is a super-2 number, since 2×21005327323362 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 2100532732295 and 2100532732304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12500685 + ... + 12667603.

It is an arithmetic number, because the mean of its divisors is an integer number (54122891940).

Almost surely, 22100532732336 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 2100532732336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164915677600).

2100532732336 is an abundant number, since it is smaller than the sum of its proper divisors (2229298622864).

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

2100532732336 is a wasteful number, since it uses less digits than its factorization.

2100532732336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167726 (or 167720 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 37.

The spelling of 2100532732336 in words is "two trillion, one hundred billion, five hundred thirty-two million, seven hundred thirty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 29 37 58 74 116 148 232 296 464 592 733 1073 1466 2146 2932 4292 5864 8584 11728 17168 21257 27121 42514 54242 85028 108484 166919 170056 216968 333838 340112 433936 667676 786509 1335352 1573018 2670704 3146036 4840651 6176003 6292072 9681302 12352006 12584144 19362604 24704012 38725208 49408024 77450416 98816048 122351627 179104087 244703254 358208174 489406508 716416348 978813016 1432832696 1957626032 2865665392 3548197183 4527010199 7096394366 9054020398 14192788732 18108040796 28385577464 36216081592 56771154928 72432163184 131283295771 262566591542 525133183084 1050266366168 2100532732336