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89138581488 = 24331147939161
BaseRepresentation
bin101001100000100010…
…0101100111111110000
322112002012222010002000
41103001010230333300
52430023434101423
6104541045054000
76303636304215
oct1230104547760
9275065863060
1089138581488
1134892450670
12153383b7300
138537516898
144458745b0c
1524ba921843
hex14c112cff0

89138581488 has 160 divisors (see below), whose sum is σ = 279710668800. Its totient is φ = 26954611200.

The previous prime is 89138581457. The next prime is 89138581559. The reversal of 89138581488 is 88418583198.

89138581488 is a `hidden beast` number, since 8 + 9 + 1 + 3 + 8 + 581 + 48 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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, 2256628 + ... + 2295788.

It is an arithmetic number, because the mean of its divisors is an integer number (1748191680).

Almost surely, 289138581488 is an apocalyptic number.

89138581488 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89138581488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139855334400).

89138581488 is an abundant number, since it is smaller than the sum of its proper divisors (190572087312).

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

89138581488 is a wasteful number, since it uses less digits than its factorization.

89138581488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39668 (or 39656 counting only the distinct ones).

The product of its digits is 17694720, while the sum is 63.

The spelling of 89138581488 in words is "eighty-nine billion, one hundred thirty-eight million, five hundred eighty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 479 528 594 792 958 1188 1437 1584 1916 2376 2874 3832 4311 4752 5269 5748 7664 8622 10538 11496 12933 15807 17244 21076 22992 25866 31614 34488 39161 42152 47421 51732 63228 68976 78322 84304 94842 103464 117483 126456 142263 156644 189684 206928 234966 252912 284526 313288 352449 379368 430771 469932 569052 626576 704898 758736 861542 939864 1057347 1138104 1292313 1409796 1723084 1879728 2114694 2276208 2584626 2819592 3446168 3876939 4229388 5169252 5639184 6892336 7753878 8458776 10338504 11630817 15507756 16917552 18758119 20677008 23261634 31015512 37516238 46523268 56274357 62031024 75032476 93046536 112548714 150064952 168823071 186093072 206339309 225097428 300129904 337646142 412678618 450194856 506469213 619017927 675292284 825357236 900389712 1012938426 1238035854 1350584568 1650714472 1857053781 2025876852 2476071708 2701169136 3301428944 3714107562 4051753704 4952143416 5571161343 7428215124 8103507408 9904286832 11142322686 14856430248 22284645372 29712860496 44569290744 89138581488