Search a number
-
+
126127149921 = 33172373163661
BaseRepresentation
bin111010101110111000…
…0111001001101100001
3110001120000111002002000
41311131300321031201
54031302022244141
6133535250314213
712053356041153
oct1653560711541
9401500432060
10126127149921
1149543540593
122053b888969
13bb80711576
146166db2ad3
153432d575b6
hex1d5dc39361

126127149921 has 64 divisors (see below), whose sum is σ = 209277872640. Its totient is φ = 74660382720.

The previous prime is 126127149899. The next prime is 126127149949. The reversal of 126127149921 is 129941721621.

126127149921 is a `hidden beast` number, since 1 + 2 + 612 + 7 + 1 + 4 + 9 + 9 + 21 = 666.

It is not a de Polignac number, because 126127149921 - 26 = 126127149857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (126127149521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 688831 + ... + 852491.

It is an arithmetic number, because the mean of its divisors is an integer number (3269966760).

Almost surely, 2126127149921 is an apocalyptic number.

It is an amenable number.

126127149921 is a deficient number, since it is larger than the sum of its proper divisors (83150722719).

126127149921 is a wasteful number, since it uses less digits than its factorization.

126127149921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163783 (or 163777 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The spelling of 126127149921 in words is "one hundred twenty-six billion, one hundred twenty-seven million, one hundred forty-nine thousand, nine hundred twenty-one".

Divisors: 1 3 9 17 23 27 51 69 73 153 207 219 391 459 621 657 1173 1241 1679 1971 3519 3723 5037 10557 11169 15111 28543 33507 45333 85629 163661 256887 490983 770661 1472949 2782237 3764203 4418847 8346711 11292609 11947253 25040133 33877827 35841759 63991451 75120399 101633481 107525277 191974353 203103301 274786819 322575831 575923059 609309903 824360457 1727769177 1827929709 2473081371 4671375923 5483789127 7419244113 14014127769 42042383307 126127149921