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41522262640 = 2452988320269
BaseRepresentation
bin100110101010111010…
…110111001001110000
310222011202110111021021
4212222322313021300
51140014144401030
631024114105224
72666650260205
oct465272671160
9128152414237
1041522262640
1116678264541
12806987b214
133bb956aaa1
14201c827cac
15113047c97a
hex9aaeb7270

41522262640 has 80 divisors (see below), whose sum is σ = 99986234400. Its totient is φ = 16017232896.

The previous prime is 41522262623. The next prime is 41522262703. The reversal of 41522262640 is 4626222514.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 41522262596 and 41522262605.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2038426 + ... + 2058694.

It is an arithmetic number, because the mean of its divisors is an integer number (1249827930).

Almost surely, 241522262640 is an apocalyptic number.

41522262640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41522262640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49993117200).

41522262640 is an abundant number, since it is smaller than the sum of its proper divisors (58463971760).

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

41522262640 is a wasteful number, since it uses less digits than its factorization.

41522262640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21194 (or 21188 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 41522262640 in words is "forty-one billion, five hundred twenty-two million, two hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 883 1160 1766 2320 3532 4415 7064 8830 14128 17660 20269 25607 35320 40538 51214 70640 81076 101345 102428 128035 162152 202690 204856 256070 324304 405380 409712 512140 587801 810760 1024280 1175602 1621520 2048560 2351204 2939005 4702408 5878010 9404816 11756020 17897527 23512040 35795054 47024080 71590108 89487635 143180216 178975270 286360432 357950540 519028283 715901080 1038056566 1431802160 2076113132 2595141415 4152226264 5190282830 8304452528 10380565660 20761131320 41522262640