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11345165137680 = 2435114297411037
BaseRepresentation
bin1010010100011000000010…
…0010011011011100010000
31111011120212001202102102120
42211012000202123130100
52441334344233401210
640043521422214240
72250442524352143
oct245060042333420
944146761672376
1011345165137680
113684503a52680
121332928a24380
13643ac9432baa
142b3174c5205a
1514a1a9026270
hexa518089b710

11345165137680 has 80 divisors (see below), whose sum is σ = 38367285747264. Its totient is φ = 2750343063040.

The previous prime is 11345165137633. The next prime is 11345165137693. The reversal of 11345165137680 is 8673156154311.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2148702879 + ... + 2148708158.

Almost surely, 211345165137680 is an apocalyptic number.

11345165137680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11345165137680 is an abundant number, since it is smaller than the sum of its proper divisors (27022120609584).

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

11345165137680 is a wasteful number, since it uses less digits than its factorization.

11345165137680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4297411064 (or 4297411058 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 11345165137680 in words is "eleven trillion, three hundred forty-five billion, one hundred sixty-five million, one hundred thirty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 4297411037 8594822074 12892233111 17189644148 21487055185 25784466222 34379288296 42974110370 47271521407 51568932444 64461165555 68758576592 85948220740 94543042814 103137864888 128922331110 141814564221 171896441480 189086085628 206275729776 236357607035 257844662220 283629128442 343792882960 378172171256 472715214070 515689324440 567258256884 709072821105 756344342512 945430428140 1031378648880 1134516513768 1418145642210 1890860856280 2269033027536 2836291284420 3781721712560 5672582568840 11345165137680