Search a number
-
+
35254215000676 = 227443214092
BaseRepresentation
bin10000000010000010000101…
…11101100100001001100100
311121211021021212011221221201
420001001002331210021210
514110101113020010201
6202551321321252244
710266014212120000
oct1001010275441144
9147737255157851
1035254215000676
11102622573241a1
123b54605334084
1316895c58c0b29
1489c455263700
1541209a3a8801
hex201042f64264

35254215000676 has 135 divisors (see below), whose sum is σ = 73738124477241. Its totient is φ = 14747104576512.

The previous prime is 35254215000659. The next prime is 35254215000701. The reversal of 35254215000676 is 67600051245253.

It is a happy number.

The square root of 35254215000676 is 5937526.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 448934840676 + 34805280160000 = 670026^2 + 5899600^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 25020733860 + ... + 25020735268.

Almost surely, 235254215000676 is an apocalyptic number.

35254215000676 is the 5937526-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35254215000676

35254215000676 is an abundant number, since it is smaller than the sum of its proper divisors (38483909476565).

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

35254215000676 is an frugal number, since it uses more digits than its factorization.

35254215000676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 46.

The spelling of 35254215000676 in words is "thirty-five trillion, two hundred fifty-four billion, two hundred fifteen million, six hundred seventy-six", and thus it is an aban number.

Divisors: 1 2 4 7 14 28 43 49 86 98 172 196 301 343 602 686 1204 1372 1409 1849 2107 2401 2818 3698 4214 4802 5636 7396 8428 9604 9863 12943 14749 19726 25886 29498 39452 51772 58996 60587 69041 90601 103243 121174 138082 181202 206486 242348 276164 362404 412972 424109 483287 634207 848218 966574 1268414 1696436 1933148 1985281 2536828 2605241 2968763 3383009 3970562 4439449 5210482 5937526 6766018 7941124 8878898 10420964 11875052 13532036 13896967 17757796 18236687 20781341 27793934 36473374 41562682 55587868 72946748 83125364 85367083 97278769 127656809 145469387 170734166 194557538 255313618 290938774 341468332 389115076 510627236 581877548 597569581 680951383 893597663 1195139162 1361902766 1787195326 2390278324 2723805532 3574390652 3670784569 4182987067 4766659681 6255183641 7341569138 8365974134 9533319362 12510367282 14683138276 16731948268 19066638724 25020734564 25695491983 29280909469 51390983966 58561818938 102781967932 117123637876 179868443881 204966366283 359736887762 409932732566 719473775524 819865465132 1259079107167 2518158214334 5036316428668 8813553750169 17627107500338 35254215000676