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2116775276 = 2271143277577
BaseRepresentation
bin111111000101011…
…0110110101101100
312110112002022210022
41332022312311230
513313343302101
6550013501312
7103312202330
oct17612666554
95415068708
102116775276
11996956660
124b0aa1838
13279712565
141611b57c0
15c5c7ca1b
hex7e2b6d6c

2116775276 has 96 divisors (see below), whose sum is σ = 4751104512. Its totient is φ = 801239040.

The previous prime is 2116775251. The next prime is 2116775293. The reversal of 2116775276 is 6725776112.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3668300 + ... + 3668876.

It is an arithmetic number, because the mean of its divisors is an integer number (49490672).

Almost surely, 22116775276 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 2116775276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375552256).

2116775276 is an abundant number, since it is smaller than the sum of its proper divisors (2634329236).

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

2116775276 is a wasteful number, since it uses less digits than its factorization.

2116775276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 917 counting only the distinct ones).

The product of its digits is 246960, while the sum is 44.

The square root of 2116775276 is about 46008.4261413059. The cubic root of 2116775276 is about 1283.9799777224.

The spelling of 2116775276 in words is "two billion, one hundred sixteen million, seven hundred seventy-five thousand, two hundred seventy-six".

Divisors: 1 2 4 7 11 14 22 28 43 44 77 86 154 172 277 301 308 473 554 577 602 946 1108 1154 1204 1892 1939 2308 3047 3311 3878 4039 6094 6347 6622 7756 8078 11911 12188 12694 13244 16156 21329 23822 24811 25388 42658 44429 47644 49622 83377 85316 88858 99244 131021 159829 166754 173677 177716 262042 272921 319658 333508 347354 524084 545842 639316 694708 917147 1091684 1118803 1758119 1834294 1910447 2237606 3516238 3668588 3820894 4475212 6872647 7032476 7641788 12306833 13745294 24613666 27490588 48108529 49227332 75599117 96217058 151198234 192434116 302396468 529193819 1058387638 2116775276