Search a number
-
+
96566767027016 = 23111313124918799
BaseRepresentation
bin10101111101001110110011…
…110110001000001101001000
3110122220200201000202221021112
4111331032303312020031020
5100124122214324331031
6541214054345025452
726224501336315106
oct2575166366101510
9418820630687245
1096566767027016
1128850810550680
12a9b7352a85288
1341b628cb9ab70
1419bbbdc1bcc76
15b26dcace562b
hex57d3b3d88348

96566767027016 has 96 divisors (see below), whose sum is σ = 214353237168000. Its totient is φ = 40208222371200.

The previous prime is 96566767026979. The next prime is 96566767027039. The reversal of 96566767027016 is 61072076766569.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17172785 + ... + 22091583.

It is an arithmetic number, because the mean of its divisors is an integer number (2232846220500).

Almost surely, 296566767027016 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 96566767027016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107176618584000).

96566767027016 is an abundant number, since it is smaller than the sum of its proper divisors (117786470140984).

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

96566767027016 is a wasteful number, since it uses less digits than its factorization.

96566767027016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4919091 (or 4918956 counting only the distinct ones).

The product of its (nonzero) digits is 240045120, while the sum is 68.

The spelling of 96566767027016 in words is "ninety-six trillion, five hundred sixty-six billion, seven hundred sixty-seven million, twenty-seven thousand, sixteen".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 131 143 262 286 524 572 1048 1144 1441 1703 2882 3406 5764 6812 11528 13624 17161 18733 34322 37466 68644 74932 137288 149864 188771 223093 377542 446186 755084 892372 1510168 1784744 2454023 4908046 4918799 9816092 9837598 19632184 19675196 39350392 54106789 63944387 108213578 127888774 216427156 255777548 432854312 511555096 644362669 703388257 1288725338 1406776514 2577450676 2813553028 5154901352 5627106056 7087989359 8376714697 14175978718 16753429394 28351957436 33506858788 56703914872 67013717576 84411509639 92143861667 168823019278 184287723334 337646038556 368575446668 675292077112 737150893336 928526606029 1097349625307 1857053212058 2194699250614 3714106424116 4389398501228 7428212848232 8778797002456 12070845878377 24141691756754 48283383513508 96566767027016