Search a number
-
+
47878760706 = 23719211292797
BaseRepresentation
bin101100100101110010…
…111110100100000010
311120120202100001100120
4230211302332210002
51241023430320311
633554544001110
73313323515430
oct544562764402
9146522301316
1047878760706
111933a348627
129342600196
13469045664a
142462b15d50
1513a3534706
hexb25cbe902

47878760706 has 96 divisors (see below), whose sum is σ = 115643802240. Its totient is φ = 12943556352.

The previous prime is 47878760701. The next prime is 47878760717. The reversal of 47878760706 is 60706787874.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 47878760706.

It is not an unprimeable number, because it can be changed into a prime (47878760701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17116500 + ... + 17119296.

It is an arithmetic number, because the mean of its divisors is an integer number (1204622940).

Almost surely, 247878760706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47878760706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57821901120).

47878760706 is an abundant number, since it is smaller than the sum of its proper divisors (67765041534).

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

47878760706 is a wasteful number, since it uses less digits than its factorization.

47878760706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3976 (or 3957 counting only the distinct ones).

The product of its (nonzero) digits is 22127616, while the sum is 60.

The spelling of 47878760706 in words is "forty-seven billion, eight hundred seventy-eight million, seven hundred sixty thousand, seven hundred six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 361 399 722 798 1083 1129 2166 2258 2527 2797 3387 5054 5594 6774 7581 7903 8391 15162 15806 16782 19579 21451 23709 39158 42902 47418 53143 58737 64353 106286 117474 128706 150157 159429 300314 318858 372001 407569 450471 744002 815138 900942 1009717 1116003 1222707 2019434 2232006 2445414 2852983 3029151 3157813 5705966 6058302 6315626 7068019 8558949 9473439 14136038 17117898 18946878 21204057 22104691 42408114 44209382 59998447 66314073 119996894 132628146 179995341 359990682 419989129 839978258 1139970493 1259967387 2279940986 2519934774 3419911479 6839822958 7979793451 15959586902 23939380353 47878760706