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29693852448 = 2531331767521
BaseRepresentation
bin11011101001111001…
…000011101100100000
32211122102012222212220
4123221321003230200
5441303111234243
621350254151040
72100561403251
oct335171035440
984572188786
1029693852448
1111658450927
1259084b2480
132a52b240c0
141619914b28
15b8bd03783
hex6e9e43b20

29693852448 has 96 divisors (see below), whose sum is σ = 86650163712. Its totient is φ = 8841830400.

The previous prime is 29693852431. The next prime is 29693852453. The reversal of 29693852448 is 84425839692.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 29693852391 and 29693852400.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 345073 + ... + 422448.

It is an arithmetic number, because the mean of its divisors is an integer number (902605872).

Almost surely, 229693852448 is an apocalyptic number.

It is an amenable number.

29693852448 is an abundant number, since it is smaller than the sum of its proper divisors (56956311264).

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

29693852448 is a wasteful number, since it uses less digits than its factorization.

29693852448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767578 (or 767570 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 60.

The spelling of 29693852448 in words is "twenty-nine billion, six hundred ninety-three million, eight hundred fifty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 248 312 372 403 416 496 624 744 806 992 1209 1248 1488 1612 2418 2976 3224 4836 6448 9672 12896 19344 38688 767521 1535042 2302563 3070084 4605126 6140168 9210252 9977773 12280336 18420504 19955546 23793151 24560672 29933319 36841008 39911092 47586302 59866638 71379453 73682016 79822184 95172604 119733276 142758906 159644368 190345208 239466552 285517812 309310963 319288736 380690416 478933104 571035624 618621926 761380832 927932889 957866208 1142071248 1237243852 1855865778 2284142496 2474487704 3711731556 4948975408 7423463112 9897950816 14846926224 29693852448