Search a number
-
+
137861948871 = 32232311496269
BaseRepresentation
bin1000000001100100110…
…1100110010111000111
3111011211211120121222100
42000121031212113013
54224320124330441
6143155524003143
712650230142043
oct2003115462707
9434754517870
10137861948871
1153515526739
12228758304b3
131000094069a
14695b6b9023
1538bd18ecb6
hex20193665c7

137861948871 has 72 divisors (see below), whose sum is σ = 216360144000. Its totient is φ = 84491637120.

The previous prime is 137861948843. The next prime is 137861948927. The reversal of 137861948871 is 178849168731.

137861948871 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 619 + 4 + 8 + 8 + 7 + 1 = 666.

It is not a de Polignac number, because 137861948871 - 29 = 137861948359 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137861948799 and 137861948808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137861948771) 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 71 ways as a sum of consecutive naturals, for example, 21987925 + ... + 21994193.

It is an arithmetic number, because the mean of its divisors is an integer number (3005002000).

Almost surely, 2137861948871 is an apocalyptic number.

137861948871 is a deficient number, since it is larger than the sum of its proper divisors (78498195129).

137861948871 is a wasteful number, since it uses less digits than its factorization.

137861948871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6501 (or 6475 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 63.

The spelling of 137861948871 in words is "one hundred thirty-seven billion, eight hundred sixty-one million, nine hundred forty-eight thousand, eight hundred seventy-one".

Divisors: 1 3 9 23 31 69 93 149 207 279 447 529 713 1341 1587 2139 3427 4619 4761 6269 6417 10281 13857 16399 18807 30843 41571 49197 56421 78821 106237 144187 147591 194339 236463 318711 432561 583017 709389 934081 956133 1297683 1749051 2443451 2802243 3316301 4469797 7330353 8406729 9948903 13409391 21483863 21991059 28956511 29846709 40228173 64451589 86869533 102805331 193354767 260608599 308415993 494128849 665999753 925247979 1482386547 1997999259 4447159641 5993997777 15317994319 45953982957 137861948871