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29341815048 = 23327213639757
BaseRepresentation
bin11011010100111010…
…001001000100001000
32210201212210122100200
4123110322021010020
5440043001040143
621251320532200
72056055212200
oct332472110410
983655718320
1029341815048
1111497764a27
12582a621060
1329c7c06750
1415c4c77400
15b6ae661d3
hex6d4e89108

29341815048 has 144 divisors (see below), whose sum is σ = 99552742380. Its totient is φ = 7738488576.

The previous prime is 29341814977. The next prime is 29341815059. The reversal of 29341815048 is 84051814392.

29341815048 is a `hidden beast` number, since 29 + 3 + 41 + 81 + 504 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28238113764 + 1103701284 = 168042^2 + 33222^2 .

It is a super-2 number, since 2×293418150482 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29341814994 and 29341815012.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 274015 + ... + 365742.

Almost surely, 229341815048 is an apocalyptic number.

29341815048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

29341815048 is an abundant number, since it is smaller than the sum of its proper divisors (70210927332).

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

29341815048 is a wasteful number, since it uses less digits than its factorization.

29341815048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639796 (or 639782 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 29341815048 in words is "twenty-nine billion, three hundred forty-one million, eight hundred fifteen thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 156 168 182 196 234 252 273 294 312 364 392 441 468 504 546 588 637 728 819 882 936 1092 1176 1274 1638 1764 1911 2184 2548 3276 3528 3822 5096 5733 6552 7644 11466 15288 22932 45864 639757 1279514 1919271 2559028 3838542 4478299 5118056 5757813 7677084 8316841 8956598 11515626 13434897 15354168 16633682 17913196 23031252 24950523 26869794 31348093 33267364 35826392 40304691 46062504 49901046 53739588 58217887 62696186 66534728 74851569 80609382 94044279 99802092 107479176 116435774 125392372 149703138 161218764 174653661 188088558 199604184 232871548 250784744 282132837 299406276 322437528 349307322 376177116 407525209 465743096 523960983 564265674 598812552 698614644 752354232 815050418 1047921966 1128531348 1222575627 1397229288 1630100836 2095843932 2257062696 2445151254 3260201672 3667726881 4191687864 4890302508 7335453762 9780605016 14670907524 29341815048