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41220759552 = 21337239611
BaseRepresentation
bin100110011000111100…
…101110000000000000
310221101202010112210020
4212120330232000000
51133410003301202
630534143533440
72656326450360
oct463074560000
9127352115706
1041220759552
1116533053835
127ba48ba280
133b6bc64aab
141dd07829a0
151113c735bc
hex998f2e000

41220759552 has 112 divisors (see below), whose sum is σ = 125618028672. Its totient is φ = 11777310720.

The previous prime is 41220759527. The next prime is 41220759581. The reversal of 41220759552 is 25595702214.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 52227 + ... + 291837.

Almost surely, 241220759552 is an apocalyptic number.

41220759552 is a gapful number since it is divisible by the number (42) 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 41220759552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62809014336).

41220759552 is an abundant number, since it is smaller than the sum of its proper divisors (84397269120).

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

41220759552 is an equidigital number, since it uses as much as digits as its factorization.

41220759552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239647 (or 239623 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The spelling of 41220759552 in words is "forty-one billion, two hundred twenty million, seven hundred fifty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 4096 5376 6144 7168 8192 10752 12288 14336 21504 24576 28672 43008 57344 86016 172032 239611 479222 718833 958444 1437666 1677277 1916888 2875332 3354554 3833776 5031831 5750664 6709108 7667552 10063662 11501328 13418216 15335104 20127324 23002656 26836432 30670208 40254648 46005312 53672864 61340416 80509296 92010624 107345728 122680832 161018592 184021248 214691456 245361664 322037184 368042496 429382912 490723328 644074368 736084992 858765824 981446656 1288148736 1472169984 1717531648 1962893312 2576297472 2944339968 3435063296 5152594944 5888679936 6870126592 10305189888 13740253184 20610379776 41220759552