Search a number
-
+
36057714263214 = 23719137913736097
BaseRepresentation
bin10000011001011010101110…
…10000000000010010101110
311201200002021002210122201120
420030231113100000102232
514211232144322410324
6204404404003121410
710411040526140430
oct1014552720002256
9151602232718646
1036057714263214
1110541a997516a6
124064287673266
1317172c6809247
148c92ba234650
15427e259ae179
hex20cb574004ae

36057714263214 has 128 divisors (see below), whose sum is σ = 87400639319040. Its totient is φ = 9687413293056.

The previous prime is 36057714263203. The next prime is 36057714263239. The reversal of 36057714263214 is 41236241775063.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 998893614 + ... + 998929710.

It is an arithmetic number, because the mean of its divisors is an integer number (682817494680).

Almost surely, 236057714263214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36057714263214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43700319659520).

36057714263214 is an abundant number, since it is smaller than the sum of its proper divisors (51342925055826).

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

36057714263214 is a wasteful number, since it uses less digits than its factorization.

36057714263214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45402.

The product of its (nonzero) digits is 5080320, while the sum is 51.

The spelling of 36057714263214 in words is "thirty-six trillion, fifty-seven billion, seven hundred fourteen million, two hundred sixty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 137 266 274 399 411 798 822 959 1918 2603 2877 5206 5754 7809 9137 15618 18221 18274 27411 36097 36442 54663 54822 63959 72194 108291 109326 127918 173603 191877 216582 252679 347206 383754 505358 520809 685843 758037 1041618 1215221 1251769 1371686 1516074 2057529 2430442 2503538 3645663 3755307 4115058 4800901 4945289 7291326 7510614 8762383 9601802 9890578 14402703 14835867 17524766 23783611 26287149 28805406 29671734 34617023 47567222 52574298 69234046 71350833 93960491 103851069 142701666 166485277 187920982 207702138 281881473 329818289 332970554 499455831 563762946 657723437 659636578 989454867 998911662 1315446874 1973170311 1978909734 2308728023 3946340622 4617456046 6266547491 6926184069 12533094982 13852368138 18799642473 37599284946 43865832437 45185105593 87731664874 90370211186 131597497311 135555316779 263194994622 271110633558 316295739151 632591478302 858517006267 948887217453 1717034012534 1897774434906 2575551018801 5151102037602 6009619043869 12019238087738 18028857131607 36057714263214