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89437718328 = 23373117239967
BaseRepresentation
bin101001101001011100…
…1110100011100111000
322112212001211211200020
41103102321310130320
52431132023441303
6105030452410440
76314231030250
oct1232271643470
9275761754606
1089437718328
1134a262955a2
1215400616a20
1385844a182a
144486372960
1524d6d0ea53
hex14d2e74738

89437718328 has 128 divisors (see below), whose sum is σ = 263959019520. Its totient is φ = 24712490880.

The previous prime is 89437718323. The next prime is 89437718371. The reversal of 89437718328 is 82381773498.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89437718323) 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 31 ways as a sum of consecutive naturals, for example, 8968401 + ... + 8978367.

It is an arithmetic number, because the mean of its divisors is an integer number (2062179840).

Almost surely, 289437718328 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 89437718328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131979509760).

89437718328 is an abundant number, since it is smaller than the sum of its proper divisors (174521301192).

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

89437718328 is a wasteful number, since it uses less digits than its factorization.

89437718328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11737 (or 11733 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 60.

The spelling of 89437718328 in words is "eighty-nine billion, four hundred thirty-seven million, seven hundred eighteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1723 1736 2604 3446 5169 5208 6892 9967 10338 12061 13784 19934 20676 24122 29901 36183 39868 41352 48244 53413 59802 69769 72366 79736 96488 106826 119604 139538 144732 160239 209307 213652 239208 279076 289464 308977 320478 373891 418614 427304 558152 617954 640956 747782 837228 926931 1121673 1235908 1281912 1495564 1674456 1853862 2162839 2243346 2471816 2991128 3707724 4325678 4486692 6488517 7415448 8651356 8973384 12977034 17173141 17302712 25954068 34346282 51519423 51908136 68692564 103038846 120211987 137385128 206077692 240423974 360635961 412155384 480847948 532367371 721271922 961695896 1064734742 1442543844 1597102113 2129469484 2885087688 3194204226 3726571597 4258938968 6388408452 7453143194 11179714791 12776816904 14906286388 22359429582 29812572776 44718859164 89437718328