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14127762500 = 225510910369
BaseRepresentation
bin11010010100001010…
…01000110001000100
31100110120212200202222
431022011020301010
5212413201400000
610253514551512
71010045666645
oct151205106104
940416780688
1014127762500
115a9a832085
1228a3438598
131441c230a7
149804536cc
1557a46da85
hex34a148c44

14127762500 has 72 divisors (see below), whose sum is σ = 31189019400. Its totient is φ = 5598720000.

The previous prime is 14127762469. The next prime is 14127762527. The reversal of 14127762500 is 526772141.

It can be written as a sum of positive squares in 12 ways, for example, as 13871186176 + 256576324 = 117776^2 + 16018^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1357316 + ... + 1367684.

It is an arithmetic number, because the mean of its divisors is an integer number (433180825).

Almost surely, 214127762500 is an apocalyptic number.

14127762500 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 14127762500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15594509700).

14127762500 is an abundant number, since it is smaller than the sum of its proper divisors (17061256900).

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

14127762500 is a wasteful number, since it uses less digits than its factorization.

14127762500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10507 (or 10485 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The spelling of 14127762500 in words is "fourteen billion, one hundred twenty-seven million, seven hundred sixty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 125 218 250 436 500 545 625 1090 1250 2180 2500 2725 3125 5450 6250 10369 10900 12500 13625 20738 27250 41476 51845 54500 68125 103690 136250 207380 259225 272500 340625 518450 681250 1036900 1130221 1296125 1362500 2260442 2592250 4520884 5184500 5651105 6480625 11302210 12961250 22604420 25922500 28255525 32403125 56511050 64806250 113022100 129612500 141277625 282555250 565110500 706388125 1412776250 2825552500 3531940625 7063881250 14127762500