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96942048500682 = 23371145235154673
BaseRepresentation
bin10110000010101100010100…
…010111010101101111001010
3110201020120101001002001202000
4112002230110113111233022
5100201244303404010212
6542102321241251430
726263555222233510
oct2602542427255712
9421216331061660
1096942048500682
112898598a117310
12aa58027a93b76
1342127993b5058
1419d203d5484b0
15b31a425bb1dc
hex582b145d5bca

96942048500682 has 128 divisors (see below), whose sum is σ = 268643464427520. Its totient is φ = 25174180926720.

The previous prime is 96942048500659. The next prime is 96942048500779. The reversal of 96942048500682 is 28600584024969.

96942048500682 is a `hidden beast` number, since 9 + 6 + 9 + 4 + 2 + 0 + 48 + 500 + 6 + 82 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16229298 + ... + 21383970.

It is an arithmetic number, because the mean of its divisors is an integer number (2098777065840).

Almost surely, 296942048500682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96942048500682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134321732213760).

96942048500682 is an abundant number, since it is smaller than the sum of its proper divisors (171701415926838).

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

96942048500682 is a wasteful number, since it uses less digits than its factorization.

96942048500682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5159225 (or 5159219 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 96942048500682 in words is "ninety-six trillion, nine hundred forty-two billion, forty-eight million, five hundred thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 4158 4523 9046 13569 27138 31661 40707 49753 63322 81414 94983 99506 122121 149259 189966 244242 284949 298518 348271 447777 569898 696542 854847 895554 1044813 1343331 1709694 2089626 2686662 3134439 5154673 6268878 9403317 10309346 15464019 18806634 30928038 36082711 46392057 56701403 72165422 92784114 108248133 113402806 139176171 170104209 216496266 278352342 324744399 340208418 396909821 510312627 649488798 793819642 974233197 1020625254 1190729463 1530937881 1948466394 2381458926 3061875762 3572188389 7144376778 10716565167 21433130334 23314585979 46629171958 69943757937 139887515874 163202101853 209831273811 256460445769 326404203706 419662547622 489606305559 512920891538 629493821433 769381337307 979212611118 1258987642866 1468818916677 1538762674614 1795223120383 2308144011921 2937637833354 3590446240766 4406456750031 4616288023842 5385669361149 6924432035763 8812913500062 10771338722298 13848864071526 16157008083447 32314016166894 48471024250341 96942048500682