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41661942288 = 24347123714929
BaseRepresentation
bin100110110011001111…
…101100101000010000
310222112111021221201120
4212303033230220100
51140310424123123
631050024002240
73003264444411
oct466317545020
9128474257646
1041661942288
111673a09796a
1280a8600380
133c0c495375
1420331c7808
15113c86e2e3
hex9b33eca10

41661942288 has 80 divisors (see below), whose sum is σ = 110012839680. Its totient is φ = 13579941888.

The previous prime is 41661942281. The next prime is 41661942319. The reversal of 41661942288 is 88224916614.

It is a self number, because there is not a number n which added to its sum of digits gives 41661942288.

It is not an unprimeable number, because it can be changed into a prime (41661942281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2783208 + ... + 2798136.

It is an arithmetic number, because the mean of its divisors is an integer number (1375160496).

Almost surely, 241661942288 is an apocalyptic number.

41661942288 is a gapful number since it is divisible by the number (48) 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 41661942288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55006419840).

41661942288 is an abundant number, since it is smaller than the sum of its proper divisors (68350897392).

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

41661942288 is a wasteful number, since it uses less digits than its factorization.

41661942288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16224 (or 16218 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 51.

The spelling of 41661942288 in words is "forty-one billion, six hundred sixty-one million, nine hundred forty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 1237 2256 2474 3711 4948 7422 9896 14844 14929 19792 29688 29858 44787 58139 59376 59716 89574 116278 119432 174417 179148 232556 238864 348834 358296 465112 697668 701663 716592 930224 1395336 1403326 2104989 2790672 2806652 4209978 5613304 8419956 11226608 16839912 18467173 33679824 36934346 55401519 73868692 110803038 147737384 221606076 295474768 443212152 867957131 886424304 1735914262 2603871393 3471828524 5207742786 6943657048 10415485572 13887314096 20830971144 41661942288