Search a number
-
+
70813772370 = 23351159404119
BaseRepresentation
bin100000111110011010…
…1000110101001010010
320202210010121100201000
41001330311012221102
52130011311203440
652310440522430
75054555063565
oct1017465065122
9222703540630
1070813772370
112803958a320
1211883480416
1368a6c10173
1435dab284dc
151c96ca8730
hex107cd46a52

70813772370 has 128 divisors (see below), whose sum is σ = 209495808000. Its totient is φ = 16875967680.

The previous prime is 70813772353. The next prime is 70813772371. The reversal of 70813772370 is 7327731807.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (70813772371) 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 63 ways as a sum of consecutive naturals, for example, 26830 + ... + 377289.

It is an arithmetic number, because the mean of its divisors is an integer number (1636686000).

Almost surely, 270813772370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70813772370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104747904000).

70813772370 is an abundant number, since it is smaller than the sum of its proper divisors (138682035630).

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

70813772370 is a wasteful number, since it uses less digits than its factorization.

70813772370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404205 (or 404199 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The spelling of 70813772370 in words is "seventy billion, eight hundred thirteen million, seven hundred seventy-two thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 59 66 90 99 110 118 135 165 177 198 270 295 297 330 354 495 531 590 594 649 885 990 1062 1298 1485 1593 1770 1947 2655 2970 3186 3245 3894 5310 5841 6490 7965 9735 11682 15930 17523 19470 29205 35046 58410 87615 175230 404119 808238 1212357 2020595 2424714 3637071 4041190 4445309 6061785 7274142 8890618 10911213 12123570 13335927 18185355 21822426 22226545 23843021 26671854 36370710 40007781 44453090 47686042 54556065 66679635 71529063 80015562 109112130 119215105 120023343 133359270 143058126 200038905 214587189 238430210 240046686 262273231 357645315 400077810 429174378 524546462 600116715 643761567 715290630 786819693 1072935945 1200233430 1287523134 1311366155 1573639386 2145871890 2360459079 2622732310 3218807835 3934098465 4720918158 6437615670 7081377237 7868196930 11802295395 14162754474 23604590790 35406886185 70813772370