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134366124246264 = 23333498539208739
BaseRepresentation
bin11110100011010010001101…
…000110110000010011111000
3122121202021110020001202201000
4132203102031012300103320
5120102423310301340024
61153434540105125000
740205426550361311
oct3643221506602370
9577667406052630
10134366124246264
11398a4398245aa9
12130a107b189760
1359c8895688051
1425274d8605608
151080287e41cc9
hex7a348d1b04f8

134366124246264 has 128 divisors (see below), whose sum is σ = 374354316000000. Its totient is φ = 44654929582464.

The previous prime is 134366124246247. The next prime is 134366124246293. The reversal of 134366124246264 is 462642421663431.

134366124246264 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 6 + 6 + 1 + 2 + 4 + 2 + 4 + 626 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 134366124246264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 643599607 + ... + 643808345.

It is an arithmetic number, because the mean of its divisors is an integer number (2924643093750).

Almost surely, 2134366124246264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134366124246264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187177158000000).

134366124246264 is an abundant number, since it is smaller than the sum of its proper divisors (239988191753736).

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

134366124246264 is a wasteful number, since it uses less digits than its factorization.

134366124246264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217642 (or 217632 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 54.

The spelling of 134366124246264 in words is "one hundred thirty-four trillion, three hundred sixty-six billion, one hundred twenty-four million, two hundred forty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 349 698 1047 1396 2094 2792 3141 4188 6282 8376 8539 9423 12564 17078 18846 25128 25617 34156 37692 51234 68312 75384 76851 102468 153702 204936 208739 230553 307404 417478 461106 614808 626217 834956 922212 1252434 1669912 1844424 1878651 2504868 2980111 3757302 5009736 5635953 5960222 7514604 8940333 11271906 11920444 15029208 17880666 22543812 23840888 26820999 35761332 45087624 53641998 71522664 72849911 80462997 107283996 145699822 160925994 214567992 218549733 291399644 321851988 437099466 582799288 643703976 655649199 874198932 1311298398 1748397864 1782422321 1966947597 2622596796 3564844642 3933895194 5245193592 5347266963 7129689284 7867790388 10694533926 14259378568 15735580776 16041800889 21389067852 32083601778 42778135704 48125402667 64167203556 96250805334 128334407112 192501610668 385003221336 622065390029 1244130780058 1866196170087 2488261560116 3732392340174 4976523120232 5598588510261 7464784680348 11197177020522 14929569360696 16795765530783 22394354041044 33591531061566 44788708082088 67183062123132 134366124246264