Search a number
-
+
133100449656 = 233192318476871
BaseRepresentation
bin111101111110101100…
…1111010111101111000
3110201112222222101222120
41323331121322331320
54140042203342111
6141051232321240
712421232104116
oct1737531727570
9421488871876
10133100449656
11514a1808919
12219670a3220
13c722329425
14662917cab6
1536e014a406
hex1efd67af78

133100449656 has 128 divisors (see below), whose sum is σ = 365744332800. Its totient is φ = 40176639360.

The previous prime is 133100449639. The next prime is 133100449681. The reversal of 133100449656 is 656944001331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19367901 + ... + 19374771.

It is an arithmetic number, because the mean of its divisors is an integer number (2857377600).

Almost surely, 2133100449656 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 133100449656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182872166400).

133100449656 is an abundant number, since it is smaller than the sum of its proper divisors (232643883144).

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

133100449656 is a wasteful number, since it uses less digits than its factorization.

133100449656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8769 (or 8765 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 133100449656 in words is "one hundred thirty-three billion, one hundred million, four hundred forty-nine thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 76 92 114 138 152 184 228 276 437 456 552 874 1311 1748 1847 2622 3496 3694 5244 5541 6871 7388 10488 11082 13742 14776 20613 22164 27484 35093 41226 42481 44328 54968 70186 82452 84962 105279 127443 130549 140372 158033 164904 169924 210558 254886 261098 280744 316066 339848 391647 421116 474099 509772 522196 632132 783294 807139 842232 948198 1019544 1044392 1264264 1566588 1614278 1896396 2421417 3002627 3133176 3228556 3792792 4842834 6005254 6457112 9007881 9685668 12010508 12690737 18015762 19371336 24021016 25381474 36031524 38072211 50762948 72063048 76144422 101525896 152288844 241124003 291886951 304577688 482248006 583773902 723372009 875660853 964496012 1167547804 1446744018 1751321706 1928992024 2335095608 2893488036 3502643412 5545852069 5786976072 7005286824 11091704138 16637556207 22183408276 33275112414 44366816552 66550224828 133100449656