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29388737808 = 2432297339601
BaseRepresentation
bin11011010111101101…
…001000110100010000
32210212011002120021200
4123113231020310100
5440142004102213
621300114351200
72060165102223
oct332755106420
983764076250
1029388737808
11115111a3771
12584228b500
132a048552b1
1415cb1ad5ba
15b70134273
hex6d7b48d10

29388737808 has 120 divisors (see below), whose sum is σ = 85208724120. Its totient is φ = 9444556800.

The previous prime is 29388737801. The next prime is 29388737821. The reversal of 29388737808 is 80873788392.

It can be written as a sum of positive squares in 4 ways, for example, as 17136904464 + 12251833344 = 130908^2 + 110688^2 .

It is not an unprimeable number, because it can be changed into a prime (29388737801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3056208 + ... + 3065808.

It is an arithmetic number, because the mean of its divisors is an integer number (710072701).

Almost surely, 229388737808 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 29388737808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42604362060).

29388737808 is an abundant number, since it is smaller than the sum of its proper divisors (55819986312).

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

29388737808 is a wasteful number, since it uses less digits than its factorization.

29388737808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10377 (or 10368 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 29388737808 in words is "twenty-nine billion, three hundred eighty-eight million, seven hundred thirty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 733 1044 1392 1466 2088 2199 2932 4176 4398 5864 6597 8796 9601 11728 13194 17592 19202 21257 26388 28803 35184 38404 42514 52776 57606 63771 76808 85028 86409 105552 115212 127542 153616 170056 172818 191313 230424 255084 278429 340112 345636 382626 460848 510168 556858 691272 765252 835287 1020336 1113716 1382544 1530504 1670574 2227432 2505861 3061008 3341148 4454864 5011722 6682296 7037533 10023444 13364592 14075066 20046888 21112599 28150132 40093776 42225198 56300264 63337797 84450396 112600528 126675594 168900792 204088457 253351188 337801584 408176914 506702376 612265371 816353828 1013404752 1224530742 1632707656 1836796113 2449061484 3265415312 3673592226 4898122968 7347184452 9796245936 14694368904 29388737808