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84436771068 = 223213474638291
BaseRepresentation
bin100111010100011010…
…0101110000011111100
322001221112200101201100
41032220310232003330
52340411303133233
6102442325013100
76046264466136
oct1165064560374
9261845611640
1084436771068
113289a3a0931
1214445854190
137c683a0a40
144130106056
1522e2c6c813
hex13a8d2e0fc

84436771068 has 144 divisors (see below), whose sum is σ = 235281586176. Its totient is φ = 25369787520.

The previous prime is 84436771061. The next prime is 84436771093. The reversal of 84436771068 is 86017763448.

84436771068 is a `hidden beast` number, since 84 + 436 + 7 + 71 + 0 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84436771061) 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 47 ways as a sum of consecutive naturals, for example, 10180003 + ... + 10188293.

It is an arithmetic number, because the mean of its divisors is an integer number (1633899904).

Almost surely, 284436771068 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 84436771068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117640793088).

84436771068 is an abundant number, since it is smaller than the sum of its proper divisors (150844815108).

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

84436771068 is a wasteful number, since it uses less digits than its factorization.

84436771068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8824 (or 8819 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 84436771068 in words is "eighty-four billion, four hundred thirty-six million, seven hundred seventy-one thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 47 52 78 94 117 141 156 188 234 282 423 463 468 564 611 846 926 1222 1389 1692 1833 1852 2444 2778 3666 4167 5499 5556 6019 7332 8291 8334 10998 12038 16582 16668 18057 21761 21996 24076 24873 33164 36114 43522 49746 54171 65283 72228 74619 87044 99492 107783 108342 130566 149238 195849 215566 216684 261132 282893 298476 323349 389677 391698 431132 565786 646698 779354 783396 848679 970047 1131572 1169031 1293396 1558708 1697358 1940094 2338062 2546037 3394716 3507093 3838733 3880188 4676124 5065801 5092074 7014186 7677466 10131602 10184148 11516199 14028372 15197403 15354932 20263204 23032398 30394806 34548597 45592209 46064796 49903529 60789612 69097194 91184418 99807058 138194388 149710587 180420451 182368836 199614116 299421174 360840902 449131761 541261353 598842348 721681804 898263522 1082522706 1623784059 1796527044 2165045412 2345465863 3247568118 4690931726 6495136236 7036397589 9381863452 14072795178 21109192767 28145590356 42218385534 84436771068