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212011120199968 = 25171033900741887
BaseRepresentation
bin110000001101001010101111…
…100000100000100100100000
31000210200001202111022211221221
4300031022233200200210200
5210242042233232344333
62030524321500024424
762441204125426225
oct6015125740404440
91023601674284857
10212011120199968
116160a458263a61
121b941213232114
13913b74177003b
143a4d57044194c
151979d68393d2d
hexc0d2af820920

212011120199968 has 96 divisors (see below), whose sum is σ = 442437159757824. Its totient is φ = 99659910684672.

The previous prime is 212011120199927. The next prime is 212011120199999. The reversal of 212011120199968 is 869991021110212.

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, 5061480721 + ... + 5061522607.

It is an arithmetic number, because the mean of its divisors is an integer number (4608720414144).

Almost surely, 2212011120199968 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 212011120199968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221218579878912).

212011120199968 is an abundant number, since it is smaller than the sum of its proper divisors (230426039557856).

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

212011120199968 is a wasteful number, since it uses less digits than its factorization.

212011120199968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51954 (or 51946 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 52.

The spelling of 212011120199968 in words is "two hundred twelve trillion, eleven billion, one hundred twenty million, one hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 1033 2066 4132 8264 9007 16528 17561 18014 33056 35122 36028 41887 70244 72056 83774 140488 144112 153119 167548 280976 288224 306238 335096 561952 612476 670192 712079 1224952 1340384 1424158 2449904 2848316 4899808 5696632 9304231 11393264 18608462 22786528 37216924 43269271 74433848 86538542 148867696 158171927 173077084 297735392 316343854 346154168 377276209 632687708 692308336 735577607 754552418 1265375416 1384616672 1471155214 1509104836 2530750832 2942310428 3018209672 5061501664 5884620856 6036419344 6413695553 11769241712 12072838688 12827391106 23538483424 25654782212 51309564424 102619128848 205238257696 389726323897 779452647794 1558905295588 3117810591176 6235621182352 6625347506249 12471242364704 13250695012498 26501390024996 53002780049992 106005560099984 212011120199968