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2691116916216 = 2334753199226201
BaseRepresentation
bin100111001010010011000…
…100010101110111111000
3100112021020120020211120220
4213022103010111313320
5323042401412304331
65420140531020040
7365266246236111
oct47122304256770
910467216224526
102691116916216
11948329384123
1237568173a620
13166a04538401
14943720d5208
154a0072a0296
hex27293115df8

2691116916216 has 128 divisors (see below), whose sum is σ = 7035787008000. Its totient is φ = 857055513600.

The previous prime is 2691116916209. The next prime is 2691116916221. The reversal of 2691116916216 is 6126196111962.

It is a happy number.

2691116916216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×26911169162162 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11783916 + ... + 12010116.

It is an arithmetic number, because the mean of its divisors is an integer number (54967086000).

Almost surely, 22691116916216 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 2691116916216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3517893504000).

2691116916216 is an abundant number, since it is smaller than the sum of its proper divisors (4344670091784).

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

2691116916216 is a wasteful number, since it uses less digits than its factorization.

2691116916216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226509 (or 226505 counting only the distinct ones).

The product of its digits is 419904, while the sum is 51.

The spelling of 2691116916216 in words is "two trillion, six hundred ninety-one billion, one hundred sixteen million, nine hundred sixteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 47 53 94 106 141 159 188 199 212 282 318 376 398 424 564 597 636 796 1128 1194 1272 1592 2388 2491 4776 4982 7473 9353 9964 10547 14946 18706 19928 21094 28059 29892 31641 37412 42188 56118 59784 63282 74824 84376 112236 126564 224472 226201 253128 452402 495709 678603 904804 991418 1357206 1487127 1809608 1982836 2714412 2974254 3965672 5428824 5948508 10631447 11897016 11988653 21262894 23977306 31894341 35965959 42525788 45013999 47954612 63788682 71931918 85051576 90027998 95909224 127577364 135041997 143863836 180055996 255154728 270083994 287727672 360111992 540167988 563466691 1080335976 1126933382 1690400073 2115657953 2253866764 2385741947 3380800146 4231315906 4507733528 4771483894 6346973859 6761600292 7157225841 8462631812 9542967788 12693947718 13523200584 14314451682 16925263624 19085935576 25387895436 28628903364 50775790872 57257806728 112129871509 224259743018 336389614527 448519486036 672779229054 897038972072 1345558458108 2691116916216