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14208769692 = 223213103929221
BaseRepresentation
bin11010011101110100…
…01001111010011100
31100200020022021202100
431032322021322130
5213044421112232
610305531125100
71012051356345
oct151672117234
940606267670
1014208769692
116031530a77
1229065a3790
131455946a40
1498b0dd0cc
15582620c7c
hex34ee89e9c

14208769692 has 72 divisors (see below), whose sum is σ = 38717981120. Its totient is φ = 4367571840.

The previous prime is 14208769669. The next prime is 14208769697. The reversal of 14208769692 is 29696780241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14208769697) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 471642 + ... + 500862.

Almost surely, 214208769692 is an apocalyptic number.

14208769692 is a gapful number since it is divisible by the number (12) 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 14208769692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19358990560).

14208769692 is an abundant number, since it is smaller than the sum of its proper divisors (24509211428).

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

14208769692 is a wasteful number, since it uses less digits than its factorization.

14208769692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30283 (or 30278 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 14208769692 in words is "fourteen billion, two hundred eight million, seven hundred sixty-nine thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1039 2078 3117 4156 6234 9351 12468 13507 18702 27014 29221 37404 40521 54028 58442 81042 87663 116884 121563 162084 175326 243126 262989 350652 379873 486252 525978 759746 1051956 1139619 1519492 2279238 3418857 4558476 6837714 13675428 30360619 60721238 91081857 121442476 182163714 273245571 364327428 394688047 546491142 789376094 1092982284 1184064141 1578752188 2368128282 3552192423 4736256564 7104384846 14208769692