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5067656871948 = 22321123607916633
BaseRepresentation
bin100100110111110011111…
…1000110100000000001100
3122221110111201110022212100
41021233213320310000030
51131012030124400243
614440014402035100
71032061155453516
oct111574770640014
918843451408770
105067656871948
1116841aa210870
1269a190048a90
132a9b54c461c8
141373c1104bb6
158bc4c2920d3
hex49be7e3400c

5067656871948 has 144 divisors (see below), whose sum is σ = 14606071474176. Its totient is φ = 1466464538880.

The previous prime is 5067656871947. The next prime is 5067656871967. The reversal of 5067656871948 is 8491786567605.

5067656871948 is a `hidden beast` number, since 5 + 0 + 6 + 7 + 6 + 568 + 7 + 19 + 48 = 666.

It is a super-2 number, since 2×50676568719482 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5067656871947) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5070240 + ... + 5986872.

It is an arithmetic number, because the mean of its divisors is an integer number (101431051904).

Almost surely, 25067656871948 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 5067656871948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7303035737088).

5067656871948 is an abundant number, since it is smaller than the sum of its proper divisors (9538414602228).

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

5067656871948 is a wasteful number, since it uses less digits than its factorization.

5067656871948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917284 (or 917279 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 5067656871948 in words is "five trillion, sixty-seven billion, six hundred fifty-six million, eight hundred seventy-one thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 607 759 828 1012 1214 1518 1821 2277 2428 3036 3642 4554 5463 6677 7284 9108 10926 13354 13961 20031 21852 26708 27922 40062 41883 55844 60093 80124 83766 120186 125649 153571 167532 240372 251298 307142 460713 502596 614284 916633 921426 1382139 1833266 1842852 2749899 2764278 3666532 5499798 5528556 8249697 10082963 10999596 16499394 20165926 21082559 30248889 32998788 40331852 42165118 60497778 63247677 84330236 90746667 120995556 126495354 181493334 189743031 231908149 252990708 362986668 379486062 463816298 556396231 695724447 758972124 927632596 1112792462 1391448894 1669188693 2087173341 2225584924 2782897788 3338377386 4174346682 5007566079 6120358541 6676754772 8348693364 10015132158 12240717082 12797113313 18361075623 20030264316 24481434164 25594226626 36722151246 38391339939 51188453252 55083226869 73444302492 76782679878 110166453738 115174019817 140768246443 153565359756 220332907476 230348039634 281536492886 422304739329 460696079268 563072985772 844609478658 1266914217987 1689218957316 2533828435974 5067656871948