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29158583872 = 2611217221489
BaseRepresentation
bin11011001001111111…
…001010111001000000
32210021010000112102211
4123021333022321000
5434204044140442
621221213351504
72051401605415
oct331177127100
983233015384
1029158583872
1111403295700
125799198594
132998c70c32
1415a87bc10c
15b59d20617
hex6c9fcae40

29158583872 has 84 divisors (see below), whose sum is σ = 67341376620. Its totient is φ = 12474204160.

The previous prime is 29158583863. The next prime is 29158583903. The reversal of 29158583872 is 27838585192.

It can be written as a sum of positive squares in 2 ways, for example, as 19651553856 + 9507030016 = 140184^2 + 97504^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20904 + ... + 242392.

It is an arithmetic number, because the mean of its divisors is an integer number (801683055).

Almost surely, 229158583872 is an apocalyptic number.

29158583872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29158583872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33670688310).

29158583872 is an abundant number, since it is smaller than the sum of its proper divisors (38182792748).

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

29158583872 is a wasteful number, since it uses less digits than its factorization.

29158583872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221540 (or 221519 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 58.

The spelling of 29158583872 in words is "twenty-nine billion, one hundred fifty-eight million, five hundred eighty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 121 136 176 187 242 272 352 374 484 544 704 748 968 1088 1496 1936 2057 2992 3872 4114 5984 7744 8228 11968 16456 32912 65824 131648 221489 442978 885956 1771912 2436379 3543824 3765313 4872758 7087648 7530626 9745516 14175296 15061252 19491032 26800169 30122504 38982064 41418443 53600338 60245008 77964128 82836886 107200676 120490016 155928256 165673772 214401352 240980032 331347544 428802704 455602873 662695088 857605408 911205746 1325390176 1715210816 1822411492 2650780352 3644822984 7289645968 14579291936 29158583872