Search a number
-
+
47139696468 = 223310110341957
BaseRepresentation
bin101011111001101111…
…101010111101010100
311111200020122200211000
4223321233222331110
51233020230241333
633353343143300
73256110544254
oct537157527524
9144606580730
1047139696468
1118aa0147737
129176ba4b30
1345a32ba627
1423d28cd964
15135d6e7713
hexaf9beaf54

47139696468 has 96 divisors (see below), whose sum is σ = 124625329920. Its totient is φ = 15406243200.

The previous prime is 47139696433. The next prime is 47139696469. The reversal of 47139696468 is 86469693174.

47139696468 is a `hidden beast` number, since 471 + 39 + 6 + 96 + 46 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47139696469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1102546 + ... + 1144502.

It is an arithmetic number, because the mean of its divisors is an integer number (1298180520).

Almost surely, 247139696468 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 47139696468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62312664960).

47139696468 is an abundant number, since it is smaller than the sum of its proper divisors (77485633452).

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

47139696468 is a wasteful number, since it uses less digits than its factorization.

47139696468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42174 (or 42166 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 47139696468 in words is "forty-seven billion, one hundred thirty-nine million, six hundred ninety-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 101 103 108 202 206 303 309 404 412 606 618 909 927 1212 1236 1818 1854 2727 2781 3636 3708 5454 5562 10403 10908 11124 20806 31209 41612 41957 62418 83914 93627 124836 125871 167828 187254 251742 280881 374508 377613 503484 561762 755226 1123524 1132839 1510452 2265678 4237657 4321571 4531356 8475314 8643142 12712971 12964713 16950628 17286284 25425942 25929426 38138913 38894139 50851884 51858852 76277826 77788278 114416739 116682417 152555652 155576556 228833478 233364834 436478671 457666956 466729668 872957342 1309436013 1745914684 2618872026 3928308039 5237744052 7856616078 11784924117 15713232156 23569848234 47139696468