Search a number
-
+
20387585070 = 23251714989431
BaseRepresentation
bin10010111111001100…
…011101110000101110
31221121211211122000100
4102333030131300232
5313223210210240
613211012411530
71321136420346
oct227714356056
957554748010
1020387585070
118712295466
123b4b916ba6
131bcba90408
14db5977d26
157e4ccae30
hex4bf31dc2e

20387585070 has 96 divisors (see below), whose sum is σ = 56503137600. Its totient is φ = 5082485760.

The previous prime is 20387585047. The next prime is 20387585083. The reversal of 20387585070 is 7058578302.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183255 + ... + 272685.

It is an arithmetic number, because the mean of its divisors is an integer number (588574350).

Almost surely, 220387585070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20387585070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28251568800).

20387585070 is an abundant number, since it is smaller than the sum of its proper divisors (36115552530).

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

20387585070 is a wasteful number, since it uses less digits than its factorization.

20387585070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89610 (or 89607 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 20387585070 in words is "twenty billion, three hundred eighty-seven million, five hundred eighty-five thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 149 153 170 255 298 306 447 510 745 765 894 1341 1490 1530 2235 2533 2682 4470 5066 6705 7599 12665 13410 15198 22797 25330 37995 45594 75990 89431 113985 178862 227970 268293 447155 536586 804879 894310 1341465 1520327 1609758 2682930 3040654 4024395 4560981 7601635 8048790 9121962 13325219 13682943 15203270 22804905 26650438 27365886 39975657 45609810 66626095 68414715 79951314 119926971 133252190 136829430 199878285 226528723 239853942 399756570 453057446 599634855 679586169 1132643615 1199269710 1359172338 2038758507 2265287230 3397930845 4077517014 6795861690 10193792535 20387585070