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41233962217 = 722633319601
BaseRepresentation
bin100110011001101111…
…000101010011101001
310221102122222022102211
4212121233011103221
51133421343242332
630535334525121
72656546616200
oct463157052351
9127378868384
1041233962217
111653a551128
127ba92067a1
133b71908316
141dd241c237
151114ed0447
hex999bc54e9

41233962217 has 12 divisors (see below), whose sum is σ = 47984405076. Its totient is φ = 35329862400.

The previous prime is 41233962197. The next prime is 41233962221. The reversal of 41233962217 is 71226933214.

It can be written as a sum of positive squares in 2 ways, for example, as 6971582016 + 34262380201 = 83496^2 + 185101^2 .

It is not a de Polignac number, because 41233962217 - 211 = 41233960169 is a prime.

It is a super-2 number, since 2×412339622172 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 41233962217.

It is not an unprimeable number, because it can be changed into a prime (41233902217) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 30784 + ... + 288817.

It is an arithmetic number, because the mean of its divisors is an integer number (3998700423).

Almost surely, 241233962217 is an apocalyptic number.

It is an amenable number.

41233962217 is a deficient number, since it is larger than the sum of its proper divisors (6750442859).

41233962217 is a wasteful number, since it uses less digits than its factorization.

41233962217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322248 (or 322241 counting only the distinct ones).

The product of its digits is 108864, while the sum is 40.

The spelling of 41233962217 in words is "forty-one billion, two hundred thirty-three million, nine hundred sixty-two thousand, two hundred seventeen".

Divisors: 1 7 49 2633 18431 129017 319601 2237207 15660449 841509433 5890566031 41233962217