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10041505413544 = 23111741473483257
BaseRepresentation
bin1001001000011111100001…
…0111001111100110101000
31022112221212202222201111001
42102013320113033212220
52304010000341213134
633205000502044344
72054321602501003
oct222077027174650
938487782881431
1010041505413544
11322164002a590
12116213ba196b4
1357abaa077117
1426a02360c53a
15126308b93414
hex921f85cf9a8

10041505413544 has 128 divisors (see below), whose sum is σ = 22752083934720. Its totient is φ = 4101882265600.

The previous prime is 10041505413517. The next prime is 10041505413551. The reversal of 10041505413544 is 44531450514001.

10041505413544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1141164 + ... + 4624420.

It is an arithmetic number, because the mean of its divisors is an integer number (177750655740).

Almost surely, 210041505413544 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 10041505413544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11376041967360).

10041505413544 is an abundant number, since it is smaller than the sum of its proper divisors (12710578521176).

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

10041505413544 is a wasteful number, since it uses less digits than its factorization.

10041505413544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3483379 (or 3483375 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

Adding to 10041505413544 its reverse (44531450514001), we get a palindrome (54572955927545).

The spelling of 10041505413544 in words is "ten trillion, forty-one billion, five hundred five million, four hundred thirteen thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 17 22 34 41 44 47 68 82 88 94 136 164 187 188 328 374 376 451 517 697 748 799 902 1034 1394 1496 1598 1804 1927 2068 2788 3196 3608 3854 4136 5576 6392 7667 7708 8789 15334 15416 17578 21197 30668 32759 35156 42394 61336 65518 70312 84788 131036 169576 262072 360349 720698 1441396 2882792 3483257 6966514 13933028 27866056 38315827 59215369 76631654 118430738 142813537 153263308 163713079 236861476 285627074 306526616 327426158 473722952 571254148 651369059 654852316 1142508296 1302738118 1309704632 1570948907 1800843869 2427830129 2605476236 2783122343 3141897814 3601687738 4855660258 5210952472 5566244686 6283795628 6712236239 7203375476 9711320516 11132489372 12567591256 13424472478 14406750952 19422641032 22264978744 26706131419 26848944956 30614345773 53412262838 53697889912 61228691546 73834598629 106824525676 114108016063 122457383092 147669197258 213649051352 228216032126 244914766184 295338394516 456432064252 590676789032 912864128504 1255188176693 2510376353386 5020752706772 10041505413544