Search a number
-
+
15727128241 = 1110161722943
BaseRepresentation
bin11101010010110100…
…01110111010110001
31111121001100220010011
432221122032322301
5224202121100431
611120330534521
71064506245556
oct165132167261
944531326104
1015727128241
116740610250
12306ab97441
131638396256
14a92a20a2d
15620a94cb1
hex3a968eeb1

15727128241 has 16 divisors (see below), whose sum is σ = 17355575808. Its totient is φ = 14132272000.

The previous prime is 15727128233. The next prime is 15727128269. The reversal of 15727128241 is 14282172751.

It is not a de Polignac number, because 15727128241 - 23 = 15727128233 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 15727128194 and 15727128203.

It is not an unprimeable number, because it can be changed into a prime (15727128211) 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 15 ways as a sum of consecutive naturals, for example, 674016 + ... + 696958.

It is an arithmetic number, because the mean of its divisors is an integer number (1084723488).

Almost surely, 215727128241 is an apocalyptic number.

15727128241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

15727128241 is a deficient number, since it is larger than the sum of its proper divisors (1628447567).

15727128241 is a wasteful number, since it uses less digits than its factorization.

15727128241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23672.

The product of its digits is 62720, while the sum is 40.

The spelling of 15727128241 in words is "fifteen billion, seven hundred twenty-seven million, one hundred twenty-eight thousand, two hundred forty-one".

Divisors: 1 11 101 617 1111 6787 22943 62317 252373 685487 2317243 14155831 25489673 155714141 1429738931 15727128241