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30105844769352 = 233111710961541981
BaseRepresentation
bin1101101100001100100000…
…01011101110001001001000
310221121002110002022010222210
412312012100023232021020
512421223232230104402
6144010233435545120
76225034620156462
oct666062013561110
9127532402263883
1030105844769352
1196578a9572950
12346286a5bb1a0
1313a4c79b06aa1
147611b876d132
153731c71d706c
hex1b61902ee248

30105844769352 has 128 divisors (see below), whose sum is σ = 87734249539200. Its totient is φ = 8507563315200.

The previous prime is 30105844769309. The next prime is 30105844769393. The reversal of 30105844769352 is 25396744850103.

It is a junction number, because it is equal to n+sod(n) for n = 30105844769292 and 30105844769301.

It is an unprimeable number.

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, 30281799 + ... + 31260182.

It is an arithmetic number, because the mean of its divisors is an integer number (685423824525).

It is a 2-persistent number, because it is pandigital, and so is 2⋅30105844769352 = 60211689538704, but 3⋅30105844769352 = 90317534308056 is not.

Almost surely, 230105844769352 is an apocalyptic number.

It is an amenable number.

30105844769352 is an abundant number, since it is smaller than the sum of its proper divisors (57628404769848).

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

30105844769352 is a wasteful number, since it uses less digits than its factorization.

30105844769352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61542127 (or 61542123 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 57.

The spelling of 30105844769352 in words is "thirty trillion, one hundred five billion, eight hundred forty-four million, seven hundred sixty-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 109 132 136 187 204 218 264 327 374 408 436 561 654 748 872 1122 1199 1308 1496 1853 2244 2398 2616 3597 3706 4488 4796 5559 7194 7412 9592 11118 14388 14824 20383 22236 28776 40766 44472 61149 81532 122298 163064 244596 489192 61541981 123083962 184625943 246167924 369251886 492335848 676961791 738503772 1046213677 1353923582 1477007544 2030885373 2092427354 2707847164 3138641031 4061770746 4184854708 5415694328 6277282062 6708075929 8123541492 8369709416 11508350447 12554564124 13416151858 16247082984 20124227787 23016700894 25109128248 26832303716 34525051341 40248455574 46033401788 53664607432 69050102682 73788835219 80496911148 92066803576 114037290793 138100205364 147577670438 160993822296 221366505657 228074581586 276200410728 295155340876 342111872379 442733011314 456149163172 590310681752 684223744758 885466022628 912298326344 1254410198723 1368447489516 1770932045256 2508820397446 2736894979032 3763230596169 5017640794892 7526461192338 10035281589784 15052922384676 30105844769352