Search a number
-
+
210110111011968 = 27329125391504717
BaseRepresentation
bin101111110001100000010010…
…100001111101010010000000
31000112221022220220011021120020
4233301200102201331102000
5210014421001404340333
62022511130311413440
762153645264100456
oct5761402241752200
91015838826137506
10210110111011968
1160a4721a11a402
121b6948b7084280
1390313b591214b
1439c55529929d6
1519456a5c073b3
hexbf181287d480

210110111011968 has 128 divisors (see below), whose sum is σ = 577396409832000. Its totient is φ = 67616207081472.

The previous prime is 210110111011967. The next prime is 210110111012023. The reversal of 210110111011968 is 869110111011012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (210110111011961) 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, 138881946 + ... + 140386662.

Almost surely, 2210110111011968 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 210110111011968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288698204916000).

210110111011968 is an abundant number, since it is smaller than the sum of its proper divisors (367286298820032).

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

210110111011968 is a wasteful number, since it uses less digits than its factorization.

210110111011968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517302 (or 1517290 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 33.

The spelling of 210110111011968 in words is "two hundred ten trillion, one hundred ten billion, one hundred eleven million, eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2784 3712 5568 11136 12539 25078 37617 50156 75234 100312 150468 200624 300936 363631 401248 601872 727262 802496 1090893 1203744 1454524 1504717 1604992 2181786 2407488 2909048 3009434 4363572 4514151 4814976 5818096 6018868 8727144 9028302 11636192 12037736 17454288 18056604 23272384 24075472 34908576 36113208 43636793 46544768 48150944 69817152 72226416 87273586 96301888 130910379 139634304 144452832 174547172 192603776 261820758 288905664 349094344 523641516 577811328 698188688 1047283032 1396377376 2094566064 2792754752 4189132128 5585509504 8378264256 16756528512 18867646463 37735292926 56602939389 75470585852 113205878778 150941171704 226411757556 301882343408 452823515112 547161747427 603764686816 905647030224 1094323494854 1207529373632 1641485242281 1811294060448 2188646989708 2415058747264 3282970484562 3622588120896 4377293979416 6565940969124 7245176241792 8754587958832 13131881938248 17509175917664 26263763876496 35018351835328 52527527752992 70036703670656 105055055505984 210110111011968