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2124461216332 = 2271321940075897
BaseRepresentation
bin11110111010100011110…
…000011001001001001100
321112002121100120201210001
4132322203300121021030
5234301344032410312
64303544120454044
7306326062250050
oct36724360311114
97462540521701
102124461216332
11749a84a76854
122a389991a324
13125449a96200
1474b784c7c60
153a3de960057
hex1eea3c1924c

2124461216332 has 144 divisors (see below), whose sum is σ = 4845087152640. Its totient is φ = 795878493696.

The previous prime is 2124461216323. The next prime is 2124461216387. The reversal of 2124461216332 is 2336121644212.

It is a junction number, because it is equal to n+sod(n) for n = 2124461216291 and 2124461216300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 360258408 + ... + 360264304.

It is an arithmetic number, because the mean of its divisors is an integer number (33646438560).

Almost surely, 22124461216332 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 2124461216332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422543576320).

2124461216332 is an abundant number, since it is smaller than the sum of its proper divisors (2720625936308).

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

2124461216332 is a wasteful number, since it uses less digits than its factorization.

2124461216332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9960 (or 9945 counting only the distinct ones).

The product of its digits is 82944, while the sum is 37.

The spelling of 2124461216332 in words is "two trillion, one hundred twenty-four billion, four hundred sixty-one million, two hundred sixteen thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 133 169 182 247 266 338 364 494 532 676 988 1183 1729 2366 3211 3458 4007 4732 5897 6422 6916 8014 11794 12844 16028 22477 23588 28049 41279 44954 52091 56098 76133 76661 82558 89908 104182 112043 112196 152266 153322 165116 208364 224086 304532 306644 364637 448172 532931 536627 677183 729274 784301 989729 996593 1065862 1073254 1354366 1456559 1458548 1568602 1979458 1993186 2131724 2146508 2708732 2913118 3137204 3958916 3986372 4740281 5826236 6928103 6976151 9480562 10195913 12866477 13856206 13952302 18935267 18961124 20391826 23629279 25732954 27712412 27904604 37870534 40783652 47258558 51465908 75741068 90065339 94517116 132546869 165404953 180130678 265093738 307180627 330809906 360261356 448956301 530187476 614361254 661619812 897912602 1228722508 1795825204 2150264389 3142694107 3993348151 4300528778 5836431913 6285388214 7986696302 8601057556 11672863826 12570776428 15973392604 23345727652 27953437057 40855023391 55906874114 75873614869 81710046782 111813748228 151747229738 163420093564 303494459476 531115304083 1062230608166 2124461216332