Search a number
-
+
10702520534412 = 223271722211124833
BaseRepresentation
bin1001101110111101111111…
…1011110100010110001100
31101220011002001120001202200
42123233133323310112030
52400322230224100122
634432400422121500
72153142302352540
oct233573773642614
941804061501680
1010702520534412
113456a05911503
12124a278580290
135c8321864335
1429000d0aba20
151385e54305ac
hex9bbdfef458c

10702520534412 has 144 divisors (see below), whose sum is σ = 32751890563392. Its totient is φ = 2876690350080.

The previous prime is 10702520534401. The next prime is 10702520534437. The reversal of 10702520534412 is 21443502520701.

10702520534412 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 2 + 5 + 205 + 3 + 441 + 2 = 666.

It is a super-2 number, since 2×107025205344122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8952348 + ... + 10077180.

It is an arithmetic number, because the mean of its divisors is an integer number (227443684468).

Almost surely, 210702520534412 is an apocalyptic number.

10702520534412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10702520534412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16375945281696).

10702520534412 is an abundant number, since it is smaller than the sum of its proper divisors (22049370028980).

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

10702520534412 is a wasteful number, since it uses less digits than its factorization.

10702520534412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127088 (or 1127083 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 10702520534412 in words is "ten trillion, seven hundred two billion, five hundred twenty million, five hundred thirty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 2221 4284 4442 6663 8884 13326 15547 19989 26652 31094 37757 39978 46641 62188 75514 79956 93282 113271 139923 151028 186564 226542 264299 279846 339813 453084 528598 559692 679626 792897 1057196 1124833 1359252 1585794 2249666 2378691 3171588 3374499 4499332 4757382 6748998 7873831 9514764 10123497 13497996 15747662 19122161 20246994 23621493 31495324 38244322 40493988 47242986 57366483 70864479 76488644 94485972 114732966 133855127 141728958 172099449 229465932 267710254 283457916 344198898 401565381 535420508 688397796 803130762 1204696143 1606261524 2409392286 2498254093 4818784572 4996508186 7494762279 9993016372 14989524558 17487778651 22484286837 29979049116 34975557302 42470319581 44968573674 52463335953 69951114604 84940639162 89937147348 104926671906 127410958743 157390007859 169881278324 209853343812 254821917486 297292237067 314780015718 382232876229 509643834972 594584474134 629560031436 764465752458 891876711201 1189168948268 1528931504916 1783753422402 2675630133603 3567506844804 5351260267206 10702520534412