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12472103466 = 234678912911
BaseRepresentation
bin10111001110110010…
…10011001000101010
31012012012110111120000
423213121103020222
5201020324302331
65421332243430
7621033062454
oct134731231052
935165414500
1012472103466
1153201a4a29
122500a70576
131239c001a4
148645d12d4
154cee280e6
hex2e765322a

12472103466 has 80 divisors (see below), whose sum is σ = 28684782720. Its totient is φ = 4048989120.

The previous prime is 12472103429. The next prime is 12472103503. The reversal of 12472103466 is 66430127421.

12472103466 is a `hidden beast` number, since 1 + 24 + 72 + 103 + 466 = 666.

12472103466 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12472103429) and next prime (12472103503).

It is a self number, because there is not a number n which added to its sum of digits gives 12472103466.

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 39 ways as a sum of consecutive naturals, for example, 959551 + ... + 972461.

It is an arithmetic number, because the mean of its divisors is an integer number (358559784).

Almost surely, 212472103466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12472103466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14342391360).

12472103466 is an abundant number, since it is smaller than the sum of its proper divisors (16212679254).

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

12472103466 is a wasteful number, since it uses less digits than its factorization.

12472103466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13081 (or 13072 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 12472103466 in words is "twelve billion, four hundred seventy-two million, one hundred three thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 67 81 89 134 162 178 201 267 402 534 603 801 1206 1602 1809 2403 3618 4806 5427 5963 7209 10854 11926 12911 14418 17889 25822 35778 38733 53667 77466 107334 116199 161001 232398 322002 348597 483003 697194 865037 966006 1045791 1149079 1730074 2091582 2298158 2595111 3447237 5190222 6894474 7785333 10341711 15570666 20683422 23355999 31025133 46711998 62050266 70067997 76988293 93075399 140135994 153976586 186150798 230964879 461929758 692894637 1385789274 2078683911 4157367822 6236051733 12472103466