Search a number
-
+
70666436070 = 23354311535279
BaseRepresentation
bin100000111010000001…
…1000011110111100110
320202101212100220022000
41001310003003313212
52124211101423240
652244054550130
75051115536646
oct1016403036746
9222355326260
1070666436070
1127a733a738a
1211842068346
136882534819
1435c5334526
151c88da3430
hex10740c3de6

70666436070 has 128 divisors (see below), whose sum is σ = 193030041600. Its totient is φ = 18386694144.

The previous prime is 70666436069. The next prime is 70666436101. The reversal of 70666436070 is 7063466607.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 13383691 + ... + 13388969.

It is an arithmetic number, because the mean of its divisors is an integer number (1508047200).

Almost surely, 270666436070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70666436070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96515020800).

70666436070 is an abundant number, since it is smaller than the sum of its proper divisors (122363605530).

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

70666436070 is a wasteful number, since it uses less digits than its factorization.

70666436070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6491 (or 6485 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 70666436070 in words is "seventy billion, six hundred sixty-six million, four hundred thirty-six thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 129 135 215 258 270 387 430 645 774 1153 1161 1290 1935 2306 2322 3459 3870 5279 5765 5805 6918 10377 10558 11530 11610 15837 17295 20754 26395 31131 31674 34590 47511 49579 51885 52790 62262 79185 95022 99158 103770 142533 148737 155655 158370 226997 237555 247895 285066 297474 311310 446211 453994 475110 495790 680991 712665 743685 892422 1134985 1338633 1361982 1425330 1487370 2042973 2231055 2269970 2677266 3404955 4085946 4462110 6086687 6128919 6693165 6809910 10214865 12173374 12257838 13386330 18260061 20429730 30433435 30644595 36520122 54780183 60866870 61289190 91300305 109560366 164340549 182600610 261727541 273900915 328681098 523455082 547801830 785182623 821702745 1308637705 1570365246 1643405490 2355547869 2617275410 3925913115 4711095738 7066643607 7851826230 11777739345 14133287214 23555478690 35333218035 70666436070