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11668463138367 = 33734348760167
BaseRepresentation
bin1010100111001100011010…
…0110011011011000111111
31112022111100020222111212000
42221303012212123120333
53012134003030411432
640452230140313343
72313006252126000
oct251630646333077
945274306874760
1011668463138367
1137996272776a2
121385514842853
1366843cc9b709
142c4a842951a7
151537cbc5b57c
hexa9cc699b63f

11668463138367 has 128 divisors (see below), whose sum is σ = 20670836736000. Its totient is φ = 6499149610464.

The previous prime is 11668463138363. The next prime is 11668463138369. The reversal of 11668463138367 is 76383136486611.

It is a happy number.

11668463138367 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 8 + 463 + 138 + 36 + 7 = 666.

It is not a de Polignac number, because 11668463138367 - 22 = 11668463138363 is a prime.

It is a super-2 number, since 2×116684631383672 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11668463138363) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 193904518 + ... + 193964684.

It is an arithmetic number, because the mean of its divisors is an integer number (161490912000).

Almost surely, 211668463138367 is an apocalyptic number.

11668463138367 is a deficient number, since it is larger than the sum of its proper divisors (9002373597633).

11668463138367 is an equidigital number, since it uses as much as digits as its factorization.

11668463138367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60727 (or 60707 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 11668463138367 in words is "eleven trillion, six hundred sixty-eight billion, four hundred sixty-three million, one hundred thirty-eight thousand, three hundred sixty-seven".

Divisors: 1 3 7 9 21 27 43 49 63 129 147 189 301 343 387 441 487 903 1029 1161 1323 1461 2107 2709 3087 3409 4383 6321 8127 9261 10227 13149 14749 18963 20941 23863 30681 44247 56889 60167 62823 71589 92043 132741 146587 167041 180501 188469 214767 398223 421169 439761 501123 541503 565407 644301 1026109 1263507 1319283 1503369 1624509 2587181 2948183 3078327 3790521 3957849 4510107 7182763 7761543 8844549 9234981 11371563 18110267 20637281 21548289 23284629 26533647 27704943 29301329 54330801 61911843 64644867 69853887 79600941 87903987 126771869 162992403 185735529 193934601 205109303 263711961 380315607 488977209 557206587 615327909 791135883 887403083 1140946821 1259957147 1435765121 1845983727 2662209249 3422840463 3779871441 4307295363 5537951181 7986627747 8819700029 10050355847 11339614323 12921886089 23959883241 26459100087 30151067541 34018842969 38765658267 61737900203 79377300261 90453202623 185213700609 238131900783 271359607869 432165301421 555641101827 1296495904263 1666923305481 3889487712789 11668463138367