Search a number
-
+
14790053600 = 2552710724683
BaseRepresentation
bin11011100011000111…
…00100111011100000
31102011202002120100222
431301203210323200
5220242223203400
610443334102212
71032340244540
oct156143447340
942152076328
1014790053600
1162aa6661a3
122a491aa968
1315191bb70a
14a043b3320
155b8693185
hex3718e4ee0

14790053600 has 144 divisors (see below), whose sum is σ = 41651584128. Its totient is φ = 5023280640.

The previous prime is 14790053569. The next prime is 14790053647. The reversal of 14790053600 is 635009741.

14790053600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 23 ways as a sum of consecutive naturals, for example, 586859 + ... + 611541.

It is an arithmetic number, because the mean of its divisors is an integer number (289247112).

Almost surely, 214790053600 is an apocalyptic number.

14790053600 is a gapful number since it is divisible by the number (10) 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 14790053600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20825792064).

14790053600 is an abundant number, since it is smaller than the sum of its proper divisors (26861530528).

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

14790053600 is a wasteful number, since it uses less digits than its factorization.

14790053600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24817 (or 24804 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The spelling of 14790053600 in words is "fourteen billion, seven hundred ninety million, fifty-three thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 107 112 140 160 175 200 214 224 280 350 400 428 535 560 700 749 800 856 1070 1120 1400 1498 1712 2140 2675 2800 2996 3424 3745 4280 5350 5600 5992 7490 8560 10700 11984 14980 17120 18725 21400 23968 24683 29960 37450 42800 49366 59920 74900 85600 98732 119840 123415 149800 172781 197464 246830 299600 345562 394928 493660 599200 617075 691124 789856 863905 987320 1234150 1382248 1727810 1974640 2468300 2641081 2764496 3455620 3949280 4319525 4936600 5282162 5528992 6911240 8639050 9873200 10564324 13205405 13822480 17278100 18487567 19746400 21128648 26410810 27644960 34556200 36975134 42257296 52821620 66027025 69112400 73950268 84514592 92437835 105643240 132054050 138224800 147900536 184875670 211286480 264108100 295801072 369751340 422572960 462189175 528216200 591602144 739502680 924378350 1056432400 1479005360 1848756700 2112864800 2958010720 3697513400 7395026800 14790053600