Search a number
-
+
137646667476 = 223259451714347
BaseRepresentation
bin1000000000110001100…
…0010111011011010100
3111011021211111012102100
42000030120113123110
54223400021324401
6143122313442100
712642004240353
oct2001430273324
9434254435370
10137646667476
1153414a5662a
1222815710330
13cc98165946
14693ac7999a
1538a9317b86
hex200c6176d4

137646667476 has 72 divisors (see below), whose sum is σ = 353940481440. Its totient is φ = 45091429056.

The previous prime is 137646667463. The next prime is 137646667507. The reversal of 137646667476 is 674766646731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9586935 + ... + 9601281.

It is an arithmetic number, because the mean of its divisors is an integer number (4915840020).

Almost surely, 2137646667476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137646667476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176970240720).

137646667476 is an abundant number, since it is smaller than the sum of its proper divisors (216293813964).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137646667476 is a wasteful number, since it uses less digits than its factorization.

137646667476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18933 (or 18928 counting only the distinct ones).

The product of its digits is 128024064, while the sum is 63.

The spelling of 137646667476 in words is "one hundred thirty-seven billion, six hundred forty-six million, six hundred sixty-seven thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 4517 9034 13551 14347 18068 27102 28694 40653 43041 54204 57388 81306 86082 129123 162612 172164 258246 266503 516492 533006 799509 846473 1066012 1599018 1692946 2398527 2539419 3198036 3385892 4797054 5078838 7618257 9594108 10157676 15236514 30473028 64805399 129610798 194416197 259221596 388832394 583248591 777664788 1166497182 2332994364 3823518541 7647037082 11470555623 15294074164 22941111246 34411666869 45882222492 68823333738 137646667476