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86049925944 = 233231274013061
BaseRepresentation
bin101000000100011111…
…0011010101100111000
322020002222010011012020
41100020332122230320
52402212240112234
6103310352314440
76134253205443
oct1201076325470
9266088104166
1086049925944
1133547a37a84
1214815b42a20
138164661358
14424446265a
1523896b9549
hex1408f9ab38

86049925944 has 128 divisors (see below), whose sum is σ = 226883911680. Its totient is φ = 27143424000.

The previous prime is 86049925943. The next prime is 86049925991. The reversal of 86049925944 is 44952994068.

It is a super-2 number, since 2×860499259442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86049925943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28110174 + ... + 28113234.

It is an arithmetic number, because the mean of its divisors is an integer number (1772530560).

Almost surely, 286049925944 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 86049925944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113441955840).

86049925944 is an abundant number, since it is smaller than the sum of its proper divisors (140833985736).

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

86049925944 is a wasteful number, since it uses less digits than its factorization.

86049925944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3621 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 86049925944 in words is "eighty-six billion, forty-nine million, nine hundred twenty-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 127 138 184 254 276 381 401 508 552 762 802 1016 1203 1524 1604 2406 2921 3048 3061 3208 4812 5842 6122 8763 9183 9223 9624 11684 12244 17526 18366 18446 23368 24488 27669 35052 36732 36892 50927 55338 70104 70403 73464 73784 101854 110676 140806 152781 203708 211209 221352 281612 305562 388747 407416 422418 563224 611124 777494 844836 1166241 1171321 1222248 1227461 1554988 1689672 2332482 2342642 2454922 3109976 3513963 3682383 4664964 4685284 4909844 7027926 7364766 8941181 9329928 9370568 9819688 14055852 14729532 17882362 26823543 28111704 28231603 29459064 35764724 53647086 56463206 71529448 84694809 107294172 112926412 155887547 169389618 214588344 225852824 311775094 338779236 467662641 623550188 677558472 935325282 1247100376 1870650564 3585413581 3741301128 7170827162 10756240743 14341654324 21512481486 28683308648 43024962972 86049925944