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88942922289 = 3413225492
BaseRepresentation
bin101001011010101101…
…0010100101000110001
322111120120210121010000
41102311122110220301
52424123342003124
6104505415300213
76266042236224
oct1226532245061
9274516717100
1088942922289
11347a1a62a51
12152a297a669
138505b1c300
14443a7735bb
1524a86736c9
hex14b5694a31

88942922289 has 45 divisors (see below), whose sum is σ = 143928414993. Its totient is φ = 54712633248.

The previous prime is 88942922261. The next prime is 88942922323. The reversal of 88942922289 is 98222924988.

The square root of 88942922289 is 298233.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1203743025 + 87739179264 = 34695^2 + 296208^2 .

It is not a de Polignac number, because 88942922289 - 213 = 88942914097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (88942922239) 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 44 ways as a sum of consecutive naturals, for example, 34891987 + ... + 34894535.

Almost surely, 288942922289 is an apocalyptic number.

88942922289 is the 298233-rd square number.

88942922289 is the 149117-th centered octagonal number.

It is an amenable number.

88942922289 is a deficient number, since it is larger than the sum of its proper divisors (54985492704).

88942922289 is an frugal number, since it uses more digits than its factorization.

88942922289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5136 (or 2565 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The spelling of 88942922289 in words is "eighty-eight billion, nine hundred forty-two million, nine hundred twenty-two thousand, two hundred eighty-nine".

Divisors: 1 3 9 13 27 39 81 117 169 351 507 1053 1521 2549 4563 7647 13689 22941 33137 68823 99411 206469 298233 430781 894699 1292343 2684097 3877029 6497401 11631087 19492203 34893261 58476609 84466213 175429827 253398639 526289481 760195917 1098060769 2280587751 3294182307 6841763253 9882546921 29647640763 88942922289