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212008871860432 = 24292833834215517
BaseRepresentation
bin110000001101001000101001…
…011111110001100011010000
31000210122211221210200100221021
4300031020221133301203100
5210242023132144013212
62030523310422205224
762441064325026403
oct6015105137614320
91023584853610837
10212008871860432
1161609504118209
121b9408a6283814
13913b473a1500a
143a4d3d99bdd3a
151979c85cc9307
hexc0d2297f18d0

212008871860432 has 80 divisors (see below), whose sum is σ = 427546603837440. Its totient is φ = 101721143010816.

The previous prime is 212008871860369. The next prime is 212008871860439. The reversal of 212008871860432 is 234068178800212.

It is a self number, because there is not a number n which added to its sum of digits gives 212008871860432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212008871860439) 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, 48184738 + ... + 52400254.

It is an arithmetic number, because the mean of its divisors is an integer number (5344332547968).

Almost surely, 2212008871860432 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 212008871860432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213773301918720).

212008871860432 is an abundant number, since it is smaller than the sum of its proper divisors (215537731977008).

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

212008871860432 is a wasteful number, since it uses less digits than its factorization.

212008871860432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4216220 (or 4216214 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 52.

The spelling of 212008871860432 in words is "two hundred twelve trillion, eight billion, eight hundred seventy-one million, eight hundred sixty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 58 116 232 283 383 464 566 766 1132 1532 2264 3064 4528 6128 8207 11107 16414 22214 32828 44428 65656 88856 108389 131312 177712 216778 433556 867112 1734224 3143281 4215517 6286562 8431034 12573124 16862068 25146248 33724136 50292496 67448272 122249993 244499986 488999972 977999944 1192991311 1614543011 1955999888 2385982622 3229086022 4771965244 6458172044 9543930488 12916344088 19087860976 25832688176 34596748019 46821747319 69193496038 93643494638 138386992076 187286989276 276773984152 374573978552 456915672113 553547968304 749147957104 913831344226 1827662688452 3655325376904 7310650753808 13250554491277 26501108982554 53002217965108 106004435930216 212008871860432