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41541003552 = 2531927915173
BaseRepresentation
bin100110101100000010…
…010110100100100000
310222020001201121222010
4212230002112210200
51140033444103202
631030023512520
73000265463346
oct465402264440
9128201647863
1041541003552
11166878a48a4
128073bb8740
133bc0400099
142021105996
151131e3076c
hex9ac096920

41541003552 has 144 divisors (see below), whose sum is σ = 116550887040. Its totient is φ = 12951304704.

The previous prime is 41541003527. The next prime is 41541003583. The reversal of 41541003552 is 25530014514.

It is a super-2 number, since 2×415410035522 (a number of 22 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 2730238 + ... + 2745410.

It is an arithmetic number, because the mean of its divisors is an integer number (809381160).

Almost surely, 241541003552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41541003552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58275443520).

41541003552 is an abundant number, since it is smaller than the sum of its proper divisors (75009883488).

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

41541003552 is a wasteful number, since it uses less digits than its factorization.

41541003552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15303 (or 15276 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 41541003552 in words is "forty-one billion, five hundred forty-one million, three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 79 96 114 152 158 228 237 304 316 361 456 474 608 632 722 912 948 1083 1264 1444 1501 1824 1896 2166 2528 2888 3002 3792 4332 4503 5776 6004 7584 8664 9006 11552 12008 15173 17328 18012 24016 28519 30346 34656 36024 45519 48032 57038 60692 72048 85557 91038 114076 121384 144096 171114 182076 228152 242768 288287 342228 364152 456304 485536 576574 684456 728304 864861 912608 1153148 1198667 1368912 1456608 1729722 2306296 2397334 2737824 3459444 3596001 4612592 4794668 5477453 6918888 7192002 9225184 9589336 10954906 13837776 14384004 16432359 19178672 21909812 22774673 27675552 28768008 32864718 38357344 43819624 45549346 57536016 65729436 68324019 87639248 91098692 115072032 131458872 136648038 175278496 182197384 262917744 273296076 364394768 432718787 525835488 546592152 728789536 865437574 1093184304 1298156361 1730875148 2186368608 2596312722 3461750296 5192625444 6923500592 10385250888 13847001184 20770501776 41541003552