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4191534468 = 22321141534871
BaseRepresentation
bin1111100111010101…
…1011110110000100
3101211010010000100100
43321311123312010
532041013100333
61531531044100
7205604312052
oct37165336604
911733100310
104191534468
111861014980
1298b8a0630
1351a503714
142ba9711d2
15197eab213
hexf9d5bd84

4191534468 has 144 divisors (see below), whose sum is σ = 12066268032. Its totient is φ = 1215552000.

The previous prime is 4191534449. The next prime is 4191534481. The reversal of 4191534468 is 8644351914.

It is a super-2 number, since 2×41915344682 = 35137922392864086048, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 858073 + ... + 862943.

It is an arithmetic number, because the mean of its divisors is an integer number (83793528).

Almost surely, 24191534468 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 4191534468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6033134016).

4191534468 is an abundant number, since it is smaller than the sum of its proper divisors (7874733564).

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

4191534468 is a wasteful number, since it uses less digits than its factorization.

4191534468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4986 (or 4981 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 4191534468 is about 64742.0610422622. The cubic root of 4191534468 is about 1612.3439064335.

The spelling of 4191534468 in words is "four billion, one hundred ninety-one million, five hundred thirty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 53 66 82 99 106 123 132 159 164 198 212 246 318 369 396 451 477 492 583 636 738 902 954 1166 1353 1476 1749 1804 1908 2173 2332 2706 3498 4059 4346 4871 5247 5412 6519 6996 8118 8692 9742 10494 13038 14613 16236 19484 19557 20988 23903 26076 29226 39114 43839 47806 53581 58452 71709 78228 87678 95612 107162 143418 160743 175356 199711 214324 215127 258163 286836 321486 399422 430254 482229 516326 599133 642972 774489 798844 860508 964458 1032652 1198266 1548978 1797399 1928916 2196821 2323467 2396532 2839793 3097956 3594798 4393642 4646934 5679586 6590463 7189596 8519379 8787284 9293868 10584683 11359172 13180926 17038758 19771389 21169366 25558137 26361852 31754049 34077516 39542778 42338732 51116274 63508098 79085556 95262147 102232548 116431513 127016196 190524294 232863026 349294539 381048588 465726052 698589078 1047883617 1397178156 2095767234 4191534468