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29519441960 = 23519162723873
BaseRepresentation
bin11011011111011111…
…101111000000101000
32211012021001000200012
4123133133233000220
5440423434120320
621321104031052
72063343055001
oct333737570050
984167030605
1029519441960
1111578a56728
12587a002488
132a25959428
1416006b41a8
15b7b8514c5
hex6df7ef028

29519441960 has 64 divisors (see below), whose sum is σ = 69960369600. Its totient is φ = 11178971136.

The previous prime is 29519441957. The next prime is 29519441981. The reversal of 29519441960 is 6914491592.

It is a junction number, because it is equal to n+sod(n) for n = 29519441899 and 29519441908.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1224584 + ... + 1248456.

It is an arithmetic number, because the mean of its divisors is an integer number (1093130775).

Almost surely, 229519441960 is an apocalyptic number.

29519441960 is a gapful number since it is divisible by the number (20) 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 29519441960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34980184800).

29519441960 is an abundant number, since it is smaller than the sum of its proper divisors (40440927640).

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

29519441960 is a wasteful number, since it uses less digits than its factorization.

29519441960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25530 (or 25526 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 50.

The spelling of 29519441960 in words is "twenty-nine billion, five hundred nineteen million, four hundred forty-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 1627 3254 6508 8135 13016 16270 23873 30913 32540 47746 61826 65080 95492 119365 123652 154565 190984 238730 247304 309130 453587 477460 618260 907174 954920 1236520 1814348 2267935 3628696 4535870 9071740 18143480 38841371 77682742 155365484 194206855 310730968 388413710 737986049 776827420 1475972098 1553654840 2951944196 3689930245 5903888392 7379860490 14759720980 29519441960