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2168730378612 = 223374616222757
BaseRepresentation
bin11111100011110010011…
…001110110000101110100
321200022212112211011222000
4133203302121312011310
5241013024434103422
64340145002335300
7312454106026110
oct37436231660564
97608775734860
102168730378612
1176683183a686
122b03934ba530
1312968345b8a5
1476d77a72740
153b631138cac
hex1f8f2676174

2168730378612 has 96 divisors (see below), whose sum is σ = 6439807799040. Its totient is φ = 618293036160.

The previous prime is 2168730378593. The next prime is 2168730378623.

It is a happy number.

2168730378612 is a `hidden beast` number, since 2 + 16 + 8 + 7 + 3 + 0 + 3 + 7 + 8 + 612 = 666.

2168730378612 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21687303786122 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2762863 + ... + 3459894.

It is an arithmetic number, because the mean of its divisors is an integer number (67081331240).

Almost surely, 22168730378612 is an apocalyptic number.

It is an amenable number.

2168730378612 is an abundant number, since it is smaller than the sum of its proper divisors (4271077420428).

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

2168730378612 is a wasteful number, since it uses less digits than its factorization.

2168730378612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6223238 (or 6223230 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 2168730378612 in words is "two trillion, one hundred sixty-eight billion, seven hundred thirty million, three hundred seventy-eight thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 461 756 922 1383 1844 2766 3227 4149 5532 6454 8298 9681 12447 12908 16596 19362 24894 29043 38724 49788 58086 87129 116172 174258 348516 6222757 12445514 18668271 24891028 37336542 43559299 56004813 74673084 87118598 112009626 130677897 168014439 174237196 224019252 261355794 336028878 392033691 522711588 672057756 784067382 1176101073 1568134764 2352202146 2868690977 4704404292 5737381954 8606072931 11474763908 17212145862 20080836839 25818218793 34424291724 40161673678 51636437586 60242510517 77454656379 80323347356 103272875172 120485021034 154909312758 180727531551 240970042068 309818625516 361455063102 542182594653 722910126204 1084365189306 2168730378612