Search a number
-
+
10416041216552 = 23171943439213539
BaseRepresentation
bin1001011110010010110001…
…1011111100101000101000
31100212202121211011212002202
42113210230123330220220
52331124023022412202
634053021400115332
72123351132341436
oct227445433745050
940782554155082
1010416041216552
1133564667a2884
121202847165b48
135a72c7c5127a
142801d3911d56
15130e29c74802
hex9792c6fca28

10416041216552 has 128 divisors (see below), whose sum is σ = 22324325760000. Its totient is φ = 4525338295296.

The previous prime is 10416041216531. The next prime is 10416041216563. The reversal of 10416041216552 is 25561214061401.

10416041216552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 48671399 + ... + 48884937.

It is an arithmetic number, because the mean of its divisors is an integer number (174408795000).

Almost surely, 210416041216552 is an apocalyptic number.

It is an amenable number.

10416041216552 is an abundant number, since it is smaller than the sum of its proper divisors (11908284543448).

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

10416041216552 is a wasteful number, since it uses less digits than its factorization.

10416041216552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214063 (or 214059 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

Adding to 10416041216552 its reverse (25561214061401), we get a palindrome (35977255277953).

The spelling of 10416041216552 in words is "ten trillion, four hundred sixteen billion, forty-one million, two hundred sixteen thousand, five hundred fifty-two".

Divisors: 1 2 4 8 17 19 34 38 43 68 76 86 136 152 172 323 344 439 646 731 817 878 1292 1462 1634 1756 2584 2924 3268 3512 5848 6536 7463 8341 13889 14926 16682 18877 27778 29852 33364 37754 55556 59704 66728 75508 111112 141797 151016 213539 283594 320909 358663 427078 567188 641818 717326 854156 1134376 1283636 1434652 1708312 2567272 2869304 3630163 4057241 6097271 7260326 8114482 9182177 12194542 14520652 16228964 18364354 24389084 29041304 32457928 36728708 48778168 68973097 73457416 93743621 137946194 156097009 174461363 187487242 275892388 312194018 348922726 374974484 551784776 624388036 697845452 749948968 1248776072 1395690904 1593641557 1781128799 2965843171 3187283114 3562257598 4030975703 5931686342 6374566228 7124515196 8061951406 11863372684 12749132456 14249030392 16123902812 23726745368 30279189583 32247805624 60558379166 68526586951 76588538357 121116758332 137053173902 153177076714 242233516664 274106347804 306354153428 548212695608 612708306856 1302005152069 2604010304138 5208020608276 10416041216552