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3301100000064 = 263222549254161
BaseRepresentation
bin110000000010011000111…
…001001001001101000000
3102200120201100001002121100
4300002120321021031000
5413041123100000224
611004300541254400
7460332223012626
oct60023071111500
912616640032540
103301100000064
111062a96988339
12453937864400
131ac3a550c509
14b5aba177516
155ad08788ac9
hex30098e49340

3301100000064 has 84 divisors (see below), whose sum is σ = 9462463968100. Its totient is φ = 1100313538560.

The previous prime is 3301100000063. The next prime is 3301100000153. The reversal of 3301100000064 is 4600000011033.

It can be written as a sum of positive squares in 2 ways, for example, as 2577566030400 + 723533969664 = 1605480^2 + 850608^2 .

It is a super-2 number, since 2×33011000000642 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3301099999992 and 3301100000046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3301100000063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12861144 + ... + 13115304.

Almost surely, 23301100000064 is an apocalyptic number.

It is an amenable number.

3301100000064 is an abundant number, since it is smaller than the sum of its proper divisors (6161363968036).

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

3301100000064 is a wasteful number, since it uses less digits than its factorization.

3301100000064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276728 (or 276715 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3301100000064 its reverse (4600000011033), we get a palindrome (7901100011097).

The spelling of 3301100000064 in words is "three trillion, three hundred one billion, one hundred million, sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 22549 45098 67647 90196 135294 180392 202941 254161 270588 360784 405882 508322 541176 721568 762483 811764 1016644 1082352 1443136 1524966 1623528 2033288 2164704 2287449 3049932 3247056 4066576 4329408 4574898 6099864 6494112 8133152 9149796 12199728 12988224 16266304 18299592 24399456 36599184 48798912 73198368 146396736 5731076389 11462152778 17193229167 22924305556 34386458334 45848611112 51579687501 68772916668 91697222224 103159375002 137545833336 183394444448 206318750004 275091666672 366788888896 412637500008 550183333344 825275000016 1100366666688 1650550000032 3301100000064