Search a number
-
+
127969148097 = 32716811120829
BaseRepresentation
bin111011100101110001…
…1100011110011000001
3110020022101112021112200
41313023203203303001
54044040100214342
6134442130543413
712150123545220
oct1671343436301
9406271467480
10127969148097
114a2a928002a
1220974737b69
13c0b521780b
14629d89ccb7
1534de90994c
hex1dcb8e3cc1

127969148097 has 24 divisors (see below), whose sum is σ = 211264971840. Its totient is φ = 73120272480.

The previous prime is 127969148089. The next prime is 127969148149. The reversal of 127969148097 is 790841969721.

127969148097 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 69 + 1 + 480 + 97 = 666.

It is not a de Polignac number, because 127969148097 - 23 = 127969148089 is a prime.

It is a super-2 number, since 2×1279691480972 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (127969148077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 998679 + ... + 1119507.

It is an arithmetic number, because the mean of its divisors is an integer number (8802707160).

Almost surely, 2127969148097 is an apocalyptic number.

It is an amenable number.

127969148097 is a deficient number, since it is larger than the sum of its proper divisors (83295823743).

127969148097 is a wasteful number, since it uses less digits than its factorization.

127969148097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137653 (or 137650 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 127969148097 in words is "one hundred twenty-seven billion, nine hundred sixty-nine million, one hundred forty-eight thousand, ninety-seven".

Divisors: 1 3 7 9 21 63 16811 50433 117677 120829 151299 353031 362487 845803 1059093 1087461 2537409 7612227 2031256319 6093768957 14218794233 18281306871 42656382699 127969148097