Search a number
-
+
137781630329 = 72941127130349
BaseRepresentation
bin1000000001010001101…
…1001101010101111001
3111011122020110000122112
42000110123031111321
54224134044132304
6143143534302105
712645233351150
oct2002433152571
9434566400575
10137781630329
1153484158182
1222852957935
13ccba0cb315
146950b6c597
1538b60c6b6e
hex20146cd579

137781630329 has 32 divisors (see below), whose sum is σ = 168182784000. Its totient is φ = 110368258560.

The previous prime is 137781630317. The next prime is 137781630331. The reversal of 137781630329 is 923036187731.

It is a de Polignac number, because none of the positive numbers 2k-137781630329 is a prime.

It is a super-2 number, since 2×1377816303292 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137781630929) 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 31 ways as a sum of consecutive naturals, for example, 991847 + ... + 1122195.

It is an arithmetic number, because the mean of its divisors is an integer number (5255712000).

Almost surely, 2137781630329 is an apocalyptic number.

It is an amenable number.

137781630329 is a deficient number, since it is larger than the sum of its proper divisors (30401153671).

137781630329 is a wasteful number, since it uses less digits than its factorization.

137781630329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130553.

The product of its (nonzero) digits is 1143072, while the sum is 50.

The spelling of 137781630329 in words is "one hundred thirty-seven billion, seven hundred eighty-one million, six hundred thirty thousand, three hundred twenty-nine".

Divisors: 1 7 29 41 127 203 287 889 1189 3683 5207 8323 25781 36449 130349 151003 912443 1057021 3780121 5344309 16554323 26460847 37410163 115880261 154984961 480075367 678727243 1084894727 3360527569 4751090701 19683090047 137781630329