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2116794816 = 26338314759
BaseRepresentation
bin111111000101011…
…1011100111000000
312110112010022121000
41332022323213000
513313344413231
6550014132000
7103312313313
oct17612734700
95415108530
102116794816
1199696a304
124b0ab1000
1327971b416
141611bc97a
15c5c836e6
hex7e2bb9c0

2116794816 has 112 divisors (see below), whose sum is σ = 6298387200. Its totient is φ = 697049856.

The previous prime is 2116794737. The next prime is 2116794817. The reversal of 2116794816 is 6184976112.

2116794816 is a `hidden beast` number, since 2 + 1 + 167 + 9 + 481 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116794817) by changing a digit.

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, 136045 + ... + 150803.

It is an arithmetic number, because the mean of its divisors is an integer number (56235600).

Almost surely, 22116794816 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 2116794816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149193600).

2116794816 is an abundant number, since it is smaller than the sum of its proper divisors (4181592384).

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

2116794816 is a wasteful number, since it uses less digits than its factorization.

2116794816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14863 (or 14847 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 2116794816 is about 46008.6384932221. The cubic root of 2116794816 is about 1283.9839285262.

The spelling of 2116794816 in words is "two billion, one hundred sixteen million, seven hundred ninety-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 83 96 108 144 166 192 216 249 288 332 432 498 576 664 747 864 996 1328 1494 1728 1992 2241 2656 2988 3984 4482 5312 5976 7968 8964 11952 14759 15936 17928 23904 29518 35856 44277 47808 59036 71712 88554 118072 132831 143424 177108 236144 265662 354216 398493 472288 531324 708432 796986 944576 1062648 1224997 1416864 1593972 2125296 2449994 2833728 3187944 3674991 4250592 4899988 6375888 7349982 8501184 9799976 11024973 12751776 14699964 19599952 22049946 25503552 29399928 33074919 39199904 44099892 58799856 66149838 78399808 88199784 117599712 132299676 176399568 235199424 264599352 352799136 529198704 705598272 1058397408 2116794816