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41221731616 = 2513109909089
BaseRepresentation
bin100110011001000000…
…011011010100100000
310221101210221221012121
4212121000123110200
51133410230402431
630534220434024
72656340636362
oct463100332440
9127353857177
1041221731616
111653365809a
127ba50a8914
133b6c215390
141dd0956d32
151113db6611
hex99901b520

41221731616 has 48 divisors (see below), whose sum is σ = 88199911800. Its totient is φ = 18850848768.

The previous prime is 41221731589. The next prime is 41221731643. The reversal of 41221731616 is 61613712214.

It is an interprime number because it is at equal distance from previous prime (41221731589) and next prime (41221731643).

It can be written as a sum of positive squares in 4 ways, for example, as 32119808400 + 9101923216 = 179220^2 + 95404^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 409201 + ... + 499888.

Almost surely, 241221731616 is an apocalyptic number.

It is an amenable number.

41221731616 is an abundant number, since it is smaller than the sum of its proper divisors (46978180184).

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

41221731616 is a wasteful number, since it uses less digits than its factorization.

41221731616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909221 (or 909213 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The spelling of 41221731616 in words is "forty-one billion, two hundred twenty-one million, seven hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 104 109 208 218 416 436 872 1417 1744 2834 3488 5668 11336 22672 45344 909089 1818178 3636356 7272712 11818157 14545424 23636314 29090848 47272628 94545256 99090701 189090512 198181402 378181024 396362804 792725608 1288179113 1585451216 2576358226 3170902432 5152716452 10305432904 20610865808 41221731616