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89927012232 = 23325925992
BaseRepresentation
bin101001111000000010…
…0010100111110001000
322121010011112112201200
41103300010110332020
52433132303342412
6105151211544200
76332321664141
oct1236004247610
9277104475650
1089927012232
11351574aa322
121551845b060
138631978855
1444d133cac8
152514c609dc
hex14f0114f88

89927012232 has 108 divisors (see below), whose sum is σ = 248164593495. Its totient is φ = 29418413856.

The previous prime is 89927012207. The next prime is 89927012237. The reversal of 89927012232 is 23221072998.

It is a happy number.

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 can be written as a sum of positive squares in only one way, i.e., 44963506116 + 44963506116 = 212046^2 + 212046^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=212046.

It is a super-3 number, since 3×899270122323 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (89927012237) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 150128269 + ... + 150128867.

Almost surely, 289927012232 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 89927012232

89927012232 is an abundant number, since it is smaller than the sum of its proper divisors (158237581263).

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

89927012232 is an equidigital number, since it uses as much as digits as its factorization.

89927012232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 89927012232 in words is "eighty-nine billion, nine hundred twenty-seven million, twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 354 472 531 599 708 1062 1198 1416 1797 2124 2396 3481 3594 4248 4792 5391 6962 7188 10443 10782 13924 14376 20886 21564 27848 31329 35341 41772 43128 62658 70682 83544 106023 125316 141364 212046 250632 282728 318069 358801 424092 636138 717602 848184 1076403 1272276 1435204 2085119 2152806 2544552 2870408 3229209 4170238 4305612 6255357 6458418 8340476 8611224 12510714 12916836 16680952 18766071 21169259 25021428 25833672 37532142 42338518 50042856 63507777 75064284 84677036 127015554 150128568 169354072 190523331 254031108 381046662 508062216 762093324 1248986281 1524186648 2497972562 3746958843 4995945124 7493917686 9991890248 11240876529 14987835372 22481753058 29975670744 44963506116 89927012232