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29947157712 = 243210110319991
BaseRepresentation
bin11011111000111111…
…010101110011010000
32212022001212020101100
4123320333111303100
5442312433021322
621431343304400
72110055432463
oct337077256320
985261766340
1029947157712
111177843191a
1259792ab100
132a93453084
1416414112da
15ba418bdac
hex6f8fd5cd0

29947157712 has 120 divisors (see below), whose sum is σ = 85466279808. Its totient is φ = 9787104000.

The previous prime is 29947157699. The next prime is 29947157729. The reversal of 29947157712 is 21775174992.

29947157712 is a `hidden beast` number, since 2 + 99 + 471 + 5 + 77 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1488037 + ... + 1508027.

Almost surely, 229947157712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29947157712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42733139904).

29947157712 is an abundant number, since it is smaller than the sum of its proper divisors (55519122096).

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

29947157712 is a wasteful number, since it uses less digits than its factorization.

29947157712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20209 (or 20200 counting only the distinct ones).

The product of its digits is 2222640, while the sum is 54.

The spelling of 29947157712 in words is "twenty-nine billion, nine hundred forty-seven million, one hundred fifty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 103 144 202 206 303 309 404 412 606 618 808 824 909 927 1212 1236 1616 1648 1818 1854 2424 2472 3636 3708 4848 4944 7272 7416 10403 14544 14832 19991 20806 31209 39982 41612 59973 62418 79964 83224 93627 119946 124836 159928 166448 179919 187254 239892 249672 319856 359838 374508 479784 499344 719676 749016 959568 1439352 1498032 2019091 2059073 2878704 4038182 4118146 6057273 6177219 8076364 8236292 12114546 12354438 16152728 16472584 18171819 18531657 24229092 24708876 32305456 32945168 36343638 37063314 48458184 49417752 72687276 74126628 96916368 98835504 145374552 148253256 207966373 290749104 296506512 415932746 623899119 831865492 1247798238 1663730984 1871697357 2495596476 3327461968 3743394714 4991192952 7486789428 9982385904 14973578856 29947157712