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14920622500 = 2254723492
BaseRepresentation
bin11011110010101011…
…01010000110100100
31102111211210011020011
431321111222012210
5221024134410000
610504320420004
71035514125100
oct157125520644
942454704204
1014920622500
116367336583
122a84a77604
13153a276114
14a17880900
155c4d852ba
hex37956a1a4

14920622500 has 135 divisors (see below), whose sum is σ = 38064572469. Its totient is φ = 5100984000.

The previous prime is 14920622489. The next prime is 14920622501. The reversal of 14920622500 is 522602941.

The square root of 14920622500 is 122150.

It is a perfect power (a square), and thus also a powerful number.

14920622500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 8060807524 + 6859814976 = 89782^2 + 82824^2 .

It is not an unprimeable number, because it can be changed into a prime (14920622501) 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 44 ways as a sum of consecutive naturals, for example, 42752326 + ... + 42752674.

Almost surely, 214920622500 is an apocalyptic number.

14920622500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14920622500 is the 122150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14920622500

14920622500 is an abundant number, since it is smaller than the sum of its proper divisors (23143949969).

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

14920622500 is an frugal number, since it uses more digits than its factorization.

14920622500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 14920622500 in words is "fourteen billion, nine hundred twenty million, six hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 125 140 175 196 245 250 349 350 490 500 625 698 700 875 980 1225 1250 1396 1745 1750 2443 2450 2500 3490 3500 4375 4886 4900 6125 6980 8725 8750 9772 12215 12250 17101 17450 17500 24430 24500 30625 34202 34900 43625 48860 61075 61250 68404 85505 87250 121801 122150 122500 171010 174500 218125 243602 244300 305375 342020 427525 436250 487204 609005 610750 852607 855050 872500 1218010 1221500 1526875 1705214 1710100 2137625 2436020 3045025 3053750 3410428 4263035 4275250 5968249 6090050 6107500 8526070 8550500 10688125 11936498 12180100 15225125 17052140 21315175 21376250 23872996 29841245 30450250 42630350 42752500 59682490 60900500 76125625 85260700 106575875 119364980 149206225 152251250 213151750 298412450 304502500 426303500 532879375 596824900 746031125 1065758750 1492062250 2131517500 2984124500 3730155625 7460311250 14920622500