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29108454544 = 241321721932
BaseRepresentation
bin11011000110111111…
…111100010010010000
32210010121200200221001
4123012333330102100
5434103231021134
621212223111344
72050222531651
oct330677742220
983117620831
1029108454544
1111387a66804
125784442554
13298b76ba00
1415a1c8d528
15b5571c414
hex6c6ffc490

29108454544 has 135 divisors (see below), whose sum is σ = 65211140673. Its totient is φ = 12578881536.

The previous prime is 29108454539. The next prime is 29108454581. The reversal of 29108454544 is 44545480192.

The square root of 29108454544 is 170612.

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

It can be written as a sum of positive squares in 13 ways, for example, as 24279872400 + 4828582144 = 155820^2 + 69488^2 .

It is a super-2 number, since 2×291084545442 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 29108454494 and 29108454503.

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 26 ways as a sum of consecutive naturals, for example, 150820912 + ... + 150821104.

Almost surely, 229108454544 is an apocalyptic number.

29108454544 is the 170612-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29108454544

29108454544 is an abundant number, since it is smaller than the sum of its proper divisors (36102686129).

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

29108454544 is a wasteful number, since it uses less digits than its factorization.

29108454544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 46.

The spelling of 29108454544 in words is "twenty-nine billion, one hundred eight million, four hundred fifty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 169 193 208 221 272 289 338 386 442 578 676 772 884 1156 1352 1544 1768 2312 2509 2704 2873 3088 3281 3536 3757 4624 5018 5746 6562 7514 10036 11492 13124 15028 20072 22984 26248 30056 32617 37249 40144 42653 45968 48841 52496 55777 60112 65234 74498 85306 97682 111554 130468 148996 170612 195364 223108 260936 297992 341224 390728 446216 484237 521872 554489 595984 633233 682448 725101 781456 892432 968474 1108978 1266466 1450202 1936948 2217956 2532932 2900404 3873896 4435912 5065864 5800808 6295081 7747792 8232029 8871824 9426313 10131728 10764961 11601616 12590162 16464058 18852626 21529922 25180324 32928116 37705252 43059844 50360648 65856232 75410504 86119688 100721296 107016377 131712464 139944493 150821008 172239376 214032754 279888986 428065508 559777972 856131016 1119555944 1712262032 1819278409 2239111888 3638556818 7277113636 14554227272 29108454544