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14799246072 = 23313194753117
BaseRepresentation
bin11011100100001101…
…01001001011111000
31102012101101121001220
431302012221023320
5220302101333242
610444303112040
71032511342002
oct156206511370
942171347056
1014799246072
116304874686
122a502a2620
13151b089850
14a056c7372
155b93abbec
hex3721a92f8

14799246072 has 128 divisors (see below), whose sum is σ = 42834355200. Its totient is φ = 4222084608.

The previous prime is 14799246047. The next prime is 14799246073. The reversal of 14799246072 is 27064299741.

14799246072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14799246073) by changing a digit.

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, 252058 + ... + 305174.

It is an arithmetic number, because the mean of its divisors is an integer number (334643400).

Almost surely, 214799246072 is an apocalyptic number.

14799246072 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 14799246072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21417177600).

14799246072 is an abundant number, since it is smaller than the sum of its proper divisors (28035109128).

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

14799246072 is a wasteful number, since it uses less digits than its factorization.

14799246072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53205 (or 53201 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 14799246072 in words is "fourteen billion, seven hundred ninety-nine million, two hundred forty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 47 52 57 76 78 94 104 114 141 152 156 188 228 247 282 312 376 456 494 564 611 741 893 988 1128 1222 1482 1786 1833 1976 2444 2679 2964 3572 3666 4888 5358 5928 7144 7332 10716 11609 14664 21432 23218 34827 46436 53117 69654 92872 106234 139308 159351 212468 278616 318702 424936 637404 690521 1009223 1274808 1381042 2018446 2071563 2496499 2762084 3027669 4036892 4143126 4992998 5524168 6055338 7489497 8073784 8286252 9985996 12110676 13119899 14978994 16572504 19971992 24221352 26239798 29957988 32454487 39359697 47433481 52479596 59915976 64908974 78719394 94866962 97363461 104959192 129817948 142300443 157438788 189733924 194726922 259635896 284600886 314877576 379467848 389453844 569201772 616635253 778907688 1138403544 1233270506 1849905759 2466541012 3699811518 4933082024 7399623036 14799246072