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29688916500 = 2233532199179
BaseRepresentation
bin11011101001100110…
…001110101000010100
32211122001221020001000
4123221212032220110
5441300330312000
621350000303300
72100501424605
oct335146165024
984561836030
1029688916500
111165568a431
125906911b30
132a51ab6519
141618dcbdac
15b8b67b000
hex6e998ea14

29688916500 has 96 divisors (see below), whose sum is σ = 96060182400. Its totient is φ = 7917040800.

The previous prime is 29688916493. The next prime is 29688916531. The reversal of 29688916500 is 561988692.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1086090 + ... + 1113089.

It is an arithmetic number, because the mean of its divisors is an integer number (1000626900).

Almost surely, 229688916500 is an apocalyptic number.

29688916500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29688916500 is an abundant number, since it is smaller than the sum of its proper divisors (66371265900).

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

29688916500 is a wasteful number, since it uses less digits than its factorization.

29688916500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199207 (or 2199189 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 29688916500 in words is "twenty-nine billion, six hundred eighty-eight million, nine hundred sixteen thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 125 135 150 180 225 250 270 300 375 450 500 540 675 750 900 1125 1350 1500 2250 2700 3375 4500 6750 13500 2199179 4398358 6597537 8796716 10995895 13195074 19792611 21991790 26390148 32987685 39585222 43983580 54979475 59377833 65975370 79170444 98963055 109958950 118755666 131950740 164938425 197926110 219917900 237511332 274897375 296889165 329876850 395852220 494815275 549794750 593778330 659753700 824692125 989630550 1099589500 1187556660 1484445825 1649384250 1979261100 2474076375 2968891650 3298768500 4948152750 5937783300 7422229125 9896305500 14844458250 29688916500