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41103300048 = 2438935926801
BaseRepresentation
bin100110010001111100…
…101001010111010000
310221002120002222122020
4212101330221113100
51133134421100143
630514350211440
72653402200006
oct462174512720
9127076088566
1041103300048
1116482817768
127b714b3b80
133b5081a325
141dbcd28a76
1511087c0883
hex991f295d0

41103300048 has 80 divisors (see below), whose sum is σ = 107679715200. Its totient is φ = 13508915200.

The previous prime is 41103300047. The next prime is 41103300059. The reversal of 41103300048 is 84000330114.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41103300047) 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, 1520248 + ... + 1547048.

It is an arithmetic number, because the mean of its divisors is an integer number (1345996440).

Almost surely, 241103300048 is an apocalyptic number.

41103300048 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 41103300048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53839857600).

41103300048 is an abundant number, since it is smaller than the sum of its proper divisors (66576415152).

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

41103300048 is a wasteful number, since it uses less digits than its factorization.

41103300048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27260 (or 27254 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 41103300048 in words is "forty-one billion, one hundred three million, three hundred thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 356 359 534 712 718 1068 1077 1424 1436 2136 2154 2872 4272 4308 5744 8616 17232 26801 31951 53602 63902 80403 95853 107204 127804 160806 191706 214408 255608 321612 383412 428816 511216 643224 766824 1286448 1533648 2385289 4770578 7155867 9541156 9621559 14311734 19082312 19243118 28623468 28864677 38164624 38486236 57246936 57729354 76972472 114493872 115458708 153944944 230917416 461834832 856318751 1712637502 2568956253 3425275004 5137912506 6850550008 10275825012 13701100016 20551650024 41103300048