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2117282796 = 22325310110987
BaseRepresentation
bin111111000110011…
…0010101111101100
312110120001002222100
41332030302233230
513314011022141
6550032415100
7103316415066
oct17614625754
95416032870
102117282796
119971729a2
124b10a7490
1327985c575
141612a8736
15c5d2d0b6
hex7e332bec

2117282796 has 72 divisors (see below), whose sum is σ = 5507493264. Its totient is φ = 685526400.

The previous prime is 2117282777. The next prime is 2117282801. The reversal of 2117282796 is 6972827112.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 187215 + ... + 198201.

It is an arithmetic number, because the mean of its divisors is an integer number (76492962).

Almost surely, 22117282796 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 2117282796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753746632).

2117282796 is an abundant number, since it is smaller than the sum of its proper divisors (3390210468).

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

2117282796 is a wasteful number, since it uses less digits than its factorization.

2117282796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11151 (or 11146 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 2117282796 is about 46013.9413221689. The cubic root of 2117282796 is about 1284.0825855985.

The spelling of 2117282796 in words is "two billion, one hundred seventeen million, two hundred eighty-two thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 53 101 106 159 202 212 303 318 404 477 606 636 909 954 1212 1818 1908 3636 5353 10706 10987 16059 21412 21974 32118 32961 43948 48177 64236 65922 96354 98883 131844 192708 197766 395532 582311 1109687 1164622 1746933 2219374 2329244 3329061 3493866 4438748 5240799 6658122 6987732 9987183 10481598 13316244 19974366 20963196 39948732 58813411 117626822 176440233 235253644 352880466 529320699 705760932 1058641398 2117282796