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35713612313514 = 235716131688413
BaseRepresentation
bin10000001111011001110010…
…01011001111001110101010
311200110012002001021110100000
420013230321023033032222
514140112434223013024
6203542335040123430
710344136414625202
oct1007547113171652
9150405061243300
1035713612313514
111041a07010a893
124009654606576
1316c0a18b5c615
148b6795c33402
1541ded6655cc9
hex207b392cf3aa

35713612313514 has 96 divisors (see below), whose sum is σ = 81508415474304. Its totient is φ = 11717714352960.

The previous prime is 35713612313461. The next prime is 35713612313539. The reversal of 35713612313514 is 41531321631753.

35713612313514 is a `hidden beast` number, since 3 + 5 + 7 + 1 + 3 + 6 + 123 + 1 + 3 + 514 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 35713612313514.

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, 20307972 + ... + 21996384.

It is an arithmetic number, because the mean of its divisors is an integer number (849045994524).

Almost surely, 235713612313514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35713612313514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40754207737152).

35713612313514 is an abundant number, since it is smaller than the sum of its proper divisors (45794803160790).

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

35713612313514 is a wasteful number, since it uses less digits than its factorization.

35713612313514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689114 (or 1689102 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The spelling of 35713612313514 in words is "thirty-five trillion, seven hundred thirteen billion, six hundred twelve million, three hundred thirteen thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 71 81 142 162 213 243 426 486 613 639 1226 1278 1839 1917 3678 3834 5517 5751 11034 11502 16551 17253 33102 34506 43523 49653 87046 99306 130569 148959 261138 297918 391707 783414 1175121 1688413 2350242 3376826 3525363 5065239 7050726 10130478 10576089 15195717 21152178 30391434 45587151 91174302 119877323 136761453 239754646 273522906 359631969 410284359 719263938 820568718 1034997169 1078895907 2069994338 2157791814 3104991507 3236687721 6209983014 6473375442 9314974521 9710063163 18629949042 19420126326 27944923563 29130189489 55889847126 58260378978 73484798999 83834770689 146969597998 167669541378 220454396997 251504312067 440908793994 503008624134 661363190991 1322726381982 1984089572973 3968179145946 5952268718919 11904537437838 17856806156757 35713612313514