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11364676431468 = 22389239419106261
BaseRepresentation
bin1010010101100000101110…
…0000000110111001101100
31111020110012211200211210020
42211120023200012321230
52442144324131301333
640100505453042140
72252033163540453
oct245301340067154
944213184624706
1011364676431468
113691806629468
121336673186350
136458b87ab149
142b40a6281b9a
1514a94be0a3b3
hexa560b806e6c

11364676431468 has 96 divisors (see below), whose sum is σ = 26992248192000. Its totient is φ = 3721051783680.

The previous prime is 11364676431413. The next prime is 11364676431469. The reversal of 11364676431468 is 86413467646311.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11364676431469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106897458 + ... + 107003718.

It is an arithmetic number, because the mean of its divisors is an integer number (281169252000).

Almost surely, 211364676431468 is an apocalyptic number.

It is an amenable number.

11364676431468 is an abundant number, since it is smaller than the sum of its proper divisors (15627571760532).

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

11364676431468 is a wasteful number, since it uses less digits than its factorization.

11364676431468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107015 (or 107013 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 60.

The spelling of 11364676431468 in words is "eleven trillion, three hundred sixty-four billion, six hundred seventy-six million, four hundred thirty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 89 178 239 267 356 419 478 534 717 838 956 1068 1257 1434 1676 2514 2868 5028 21271 37291 42542 63813 74582 85084 100141 106261 111873 127626 149164 200282 212522 223746 255252 300423 318783 400564 425044 447492 600846 637566 1201692 1275132 8912549 9457229 17825098 18914458 25396379 26737647 28371687 35650196 37828916 44523359 50792758 53475294 56743374 76189137 89046718 101585516 106950588 113486748 133570077 152378274 178093436 267140154 304756548 534280308 2260277731 3962578951 4520555462 6780833193 7925157902 9041110924 10641082801 11887736853 13561666386 15850315804 21282165602 23775473706 27123332772 31923248403 42564331204 47550947412 63846496806 127692993612 947056369289 1894112738578 2841169107867 3788225477156 5682338215734 11364676431468