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89221017888 = 253458672
BaseRepresentation
bin101001100010111111…
…1001011000100100000
322112021222002022120000
41103011333023010200
52430211040033023
6104553152020000
76305660065452
oct1230577130440
9275258068500
1089221017888
1134924a36322
121535bb31600
13854b61ac12
1444656842d2
1524c2ca7243
hex14c5fcb120

89221017888 has 90 divisors (see below), whose sum is σ = 262441267011. Its totient is φ = 29735270208.

The previous prime is 89221017887. The next prime is 89221017889. The reversal of 89221017888 is 88871012298.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (89221017887) and next prime (89221017889).

It can be written as a sum of positive squares in only one way, i.e., 44610508944 + 44610508944 = 211212^2 + 211212^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=211212.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (89221017887) 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 14 ways as a sum of consecutive naturals, for example, 15204331 + ... + 15210197.

Almost surely, 289221017888 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 89221017888

89221017888 is an abundant number, since it is smaller than the sum of its proper divisors (173220249123).

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

89221017888 is an frugal number, since it uses more digits than its factorization.

89221017888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11756 (or 5872 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 54.

The spelling of 89221017888 in words is "eighty-nine billion, two hundred twenty-one million, seventeen thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 5867 11734 17601 23468 35202 46936 52803 70404 93872 105606 140808 158409 187744 211212 281616 316818 422424 475227 563232 633636 844848 950454 1267272 1689696 1900908 2534544 3801816 5069088 7603632 15207264 34421689 68843378 103265067 137686756 206530134 275373512 309795201 413060268 550747024 619590402 826120536 929385603 1101494048 1239180804 1652241072 1858771206 2478361608 2788156809 3304482144 3717542412 4956723216 5576313618 7435084824 9913446432 11152627236 14870169648 22305254472 29740339296 44610508944 89221017888