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89068146661928 = 237231273217169259
BaseRepresentation
bin10100010000000111001011…
…001111100001101000101000
3102200100211110021121221222002
4110100013023033201220220
543133243031021140203
6513233201450350132
724521650464011360
oct2420071317415050
9380324407557862
1089068146661928
112641a652874a85
129ba600612b348
133a911231c28b5
1417dccc80939a0
15a46d00b83d88
hex5101cb3e1a28

89068146661928 has 128 divisors (see below), whose sum is σ = 200790348595200. Its totient is φ = 36213434256384.

The previous prime is 89068146661903. The next prime is 89068146661931. The reversal of 89068146661928 is 82916664186098.

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 31 ways as a sum of consecutive naturals, for example, 526139363 + ... + 526308621.

It is an arithmetic number, because the mean of its divisors is an integer number (1568674598400).

Almost surely, 289068146661928 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 89068146661928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100395174297600).

89068146661928 is an abundant number, since it is smaller than the sum of its proper divisors (111722201933272).

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

89068146661928 is a wasteful number, since it uses less digits than its factorization.

89068146661928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172639 (or 172635 counting only the distinct ones).

The product of its (nonzero) digits is 429981696, while the sum is 74.

The spelling of 89068146661928 in words is "eighty-nine trillion, sixty-eight billion, one hundred forty-six million, six hundred sixty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 127 161 184 254 322 508 644 889 1016 1288 1778 2921 3217 3556 5842 6434 7112 11684 12868 20447 22519 23368 25736 40894 45038 73991 81788 90076 147982 163576 169259 180152 295964 338518 408559 517937 591928 677036 817118 1035874 1184813 1354072 1634236 2071748 2369626 2859913 3268472 3892957 4143496 4739252 5719826 7785914 9396857 9478504 11439652 15571828 18793714 21495893 22879304 27250699 31143656 37587428 42991786 54501398 65777999 75174856 85983572 109002796 131555998 150471251 171967144 218005592 263111996 300942502 494405539 526223992 544506203 601885004 988811078 1089012406 1203770008 1977622156 2178024812 3460838773 3811543421 3955244312 4356049624 6921677546 7623086842 12523642669 13843355092 15246173684 25047285338 27686710184 30492347368 50094570676 69152287781 87665498683 100189141352 138304575562 175330997366 276609151124 350661994732 484066014467 553218302248 701323989464 968132028934 1590502618963 1936264057868 3181005237926 3872528115736 6362010475852 11133518332741 12724020951704 22267036665482 44534073330964 89068146661928