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41480451520 = 2651719938317
BaseRepresentation
bin100110101000011011…
…010111010111000000
310222001211210021012021
4212220123113113000
51134422443422040
631020022011224
72665632006664
oct465033272700
9128054707167
1041480451520
11166566a71a2
128057876b14
133bb09bba91
1420170628a4
15112b96e24a
hex9a86d75c0

41480451520 has 112 divisors (see below), whose sum is σ = 105113937600. Its totient is φ = 15537291264.

The previous prime is 41480451517. The next prime is 41480451563. The reversal of 41480451520 is 2515408414.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

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, 1063402 + ... + 1101718.

It is an arithmetic number, because the mean of its divisors is an integer number (938517300).

Almost surely, 241480451520 is an apocalyptic number.

41480451520 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 41480451520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52556968800).

41480451520 is an abundant number, since it is smaller than the sum of its proper divisors (63633486080).

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

41480451520 is a wasteful number, since it uses less digits than its factorization.

41480451520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38550 (or 38540 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

Adding to 41480451520 its reverse (2515408414), we get a palindrome (43995859934).

The spelling of 41480451520 in words is "forty-one billion, four hundred eighty million, four hundred fifty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 199 272 320 340 398 544 680 796 995 1088 1360 1592 1990 2720 3184 3383 3980 5440 6368 6766 7960 12736 13532 15920 16915 27064 31840 33830 38317 54128 63680 67660 76634 108256 135320 153268 191585 216512 270640 306536 383170 541280 613072 651389 766340 1082560 1226144 1302778 1532680 2452288 2605556 3065360 3256945 5211112 6130720 6513890 7625083 10422224 12261440 13027780 15250166 20844448 26055560 30500332 38125415 41688896 52111120 61000664 76250830 104222240 122001328 129626411 152501660 208444480 244002656 259252822 305003320 488005312 518505644 610006640 648132055 1037011288 1220013280 1296264110 2074022576 2440026560 2592528220 4148045152 5185056440 8296090304 10370112880 20740225760 41480451520