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104536511046 = 232111971391373
BaseRepresentation
bin110000101011011011…
…1001001001001000110
3100222211022212222111100
41201112313021021012
53203042321323141
6120005020120530
710360340453142
oct1412667111106
9328738788440
10104536511046
1140374153a90
1218315096146
139b1c62a9c6
1450b9752222
152abc63b0b6
hex1856dc9246

104536511046 has 96 divisors (see below), whose sum is σ = 263754766080. Its totient is φ = 29587723200.

The previous prime is 104536511017. The next prime is 104536511059. The reversal of 104536511046 is 640115635401.

104536511046 is a `hidden beast` number, since 1 + 0 + 4 + 536 + 5 + 110 + 4 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 104536511046.

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 47 ways as a sum of consecutive naturals, for example, 71416 + ... + 462788.

It is an arithmetic number, because the mean of its divisors is an integer number (2747445480).

Almost surely, 2104536511046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104536511046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131877383040).

104536511046 is an abundant number, since it is smaller than the sum of its proper divisors (159218255034).

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

104536511046 is a wasteful number, since it uses less digits than its factorization.

104536511046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391482 (or 391479 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 104536511046 in words is "one hundred four billion, five hundred thirty-six million, five hundred eleven thousand, forty-six".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 71 99 114 142 171 198 209 213 342 418 426 627 639 781 1254 1278 1349 1562 1881 2343 2698 3762 4047 4686 7029 8094 12141 14058 14839 24282 29678 44517 89034 133551 267102 391373 782746 1174119 2348238 3522357 4305103 7044714 7436087 8610206 12915309 14872174 22308261 25830618 27787483 38745927 44616522 55574966 66924783 77491854 81796957 83362449 133849566 163593914 166724898 245390871 250087347 305662313 490781742 500174694 527962177 611324626 736172613 916986939 1055924354 1472345226 1583886531 1833973878 2750960817 3167773062 4751659593 5501921634 5807583947 9503319186 11615167894 17422751841 34845503682 52268255523 104536511046