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88054034121 = 34329712
BaseRepresentation
bin101001000000001101…
…1011110111011001001
322102021122012101210000
41102000123132323021
52420313313042441
6104241303313213
76235026640434
oct1220033367311
9272248171700
1088054034121
1134386230129
121509514b809
1383c3916591
1443946aa81b
1524555de2b6
hex14806deec9

88054034121 has 15 divisors (see below), whose sum is σ = 131541497373. Its totient is φ = 58700908980.

The previous prime is 88054034051. The next prime is 88054034143. The reversal of 88054034121 is 12143045088.

The square root of 88054034121 is 296739.

It is a perfect power (a square), and thus also a powerful number.

88054034121 is a `hidden beast` number, since 8 + 80 + 540 + 34 + 1 + 2 + 1 = 666.

It is not a de Polignac number, because 88054034121 - 225 = 88020479689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (88054034171) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2654166 + ... + 2687136.

Almost surely, 288054034121 is an apocalyptic number.

88054034121 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

88054034121 is the 296739-th square number.

88054034121 is the 148370-th centered octagonal number.

It is an amenable number.

88054034121 is a deficient number, since it is larger than the sum of its proper divisors (43487463252).

88054034121 is an frugal number, since it uses more digits than its factorization.

88054034121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65954 (or 32974 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Multiplying 88054034121 by its sum of digits (36), we get a square (3169945228356 = 17804342).

The spelling of 88054034121 in words is "eighty-eight billion, fifty-four million, thirty-four thousand, one hundred twenty-one".

Divisors: 1 3 9 27 81 32971 98913 296739 890217 2670651 1087086841 3261260523 9783781569 29351344707 88054034121