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29853731348 = 22717293758451
BaseRepresentation
bin11011110011011010…
…111100101000010100
32212001120001200111122
4123303122330220110
5442120023400343
621414205023112
72104542346430
oct336332745024
985046050448
1029853731348
111172a720251
125951b54a98
132a79ca16bc
141632c519c0
15b9ad85068
hex6f36bca14

29853731348 has 96 divisors (see below), whose sum is σ = 67168362240. Its totient is φ = 11312179200.

The previous prime is 29853731329. The next prime is 29853731353. The reversal of 29853731348 is 84313735892.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 29853731348.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 481523 + ... + 539973.

It is an arithmetic number, because the mean of its divisors is an integer number (699670440).

Almost surely, 229853731348 is an apocalyptic number.

29853731348 is a gapful number since it is divisible by the number (28) 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 29853731348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33584181120).

29853731348 is an abundant number, since it is smaller than the sum of its proper divisors (37314630892).

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

29853731348 is a wasteful number, since it uses less digits than its factorization.

29853731348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58545 (or 58543 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 53.

The spelling of 29853731348 in words is "twenty-nine billion, eight hundred fifty-three million, seven hundred thirty-one thousand, three hundred forty-eight".

Divisors: 1 2 4 7 14 17 28 29 34 37 58 68 74 116 119 148 203 238 259 406 476 493 518 629 812 986 1036 1073 1258 1972 2146 2516 3451 4292 4403 6902 7511 8806 13804 15022 17612 18241 30044 36482 58451 72964 116902 127687 233804 255374 409157 510748 818314 993667 1636628 1695079 1987334 2162687 3390158 3974668 4325374 6780316 6955669 8650748 11865553 13911338 15138809 23731106 27822676 28816343 30277618 36765679 47462212 57632686 60555236 62717923 73531358 115265372 125435846 147062716 201714401 250871692 257359753 403428802 439025461 514719506 806857604 878050922 1029439012 1066204691 1756101844 2132409382 4264818764 7463432837 14926865674 29853731348