Search a number
-
+
67669536948 = 223133753221203
BaseRepresentation
bin111111000001011010…
…110011000010110100
320110200000011122120020
4333001122303002310
52102041400140243
651030441005140
74613625400506
oct770132630264
9213600148506
1067669536948
1126775764752
12111464837b0
1364c5697830
1433bd2d7d76
151b60c23283
hexfc16b30b4

67669536948 has 96 divisors (see below), whose sum is σ = 177932958336. Its totient is φ = 19876326912.

The previous prime is 67669536947. The next prime is 67669536967. The reversal of 67669536948 is 84963596676.

It is a happy number.

67669536948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67669536941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195315 + ... + 416517.

It is an arithmetic number, because the mean of its divisors is an integer number (1853468316).

Almost surely, 267669536948 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 67669536948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88966479168).

67669536948 is an abundant number, since it is smaller than the sum of its proper divisors (110263421388).

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

67669536948 is a wasteful number, since it uses less digits than its factorization.

67669536948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221313 (or 221311 counting only the distinct ones).

The product of its digits is 352719360, while the sum is 69.

The spelling of 67669536948 in words is "sixty-seven billion, six hundred sixty-nine million, five hundred thirty-six thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 53 74 78 106 111 148 156 159 212 222 318 444 481 636 689 962 1378 1443 1924 1961 2067 2756 2886 3922 4134 5772 5883 7844 8268 11766 23532 25493 50986 76479 101972 152958 221203 305916 442406 663609 884812 1327218 2654436 2875639 5751278 8184511 8626917 11502556 11723759 16369022 17253834 23447518 24553533 32738044 34507668 35171277 46895036 49107066 70342554 98214132 106398643 140685108 152408867 212797286 304817734 319195929 425594572 433779083 457226601 609635468 638391858 867558166 914453202 1276783716 1301337249 1735116332 1828906404 2602674498 5205348996 5639128079 11278256158 16917384237 22556512316 33834768474 67669536948