Search a number
-
+
36253135020 = 22353797168353
BaseRepresentation
bin100001110000110110…
…101111000010101100
310110120112200002000110
4201300312233002230
51043221300310040
624353210300020
72422246364124
oct416066570254
9113515602013
1036253135020
1114413a49a13
127039127610
133559a304ab
141a7cb0bc84
15e22ab4980
hex870daf0ac

36253135020 has 96 divisors (see below), whose sum is σ = 105327649728. Its totient is φ = 9309192192.

The previous prime is 36253135007. The next prime is 36253135063. The reversal of 36253135020 is 2053135263.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 131164 + ... + 299516.

It is an arithmetic number, because the mean of its divisors is an integer number (1097163018).

Almost surely, 236253135020 is an apocalyptic number.

36253135020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36253135020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52663824864).

36253135020 is an abundant number, since it is smaller than the sum of its proper divisors (69074514708).

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

36253135020 is a wasteful number, since it uses less digits than its factorization.

36253135020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168499 (or 168497 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The spelling of 36253135020 in words is "thirty-six billion, two hundred fifty-three million, one hundred thirty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 97 111 148 185 194 222 291 370 388 444 485 555 582 740 970 1110 1164 1455 1940 2220 2910 3589 5820 7178 10767 14356 17945 21534 35890 43068 53835 71780 107670 168353 215340 336706 505059 673412 841765 1010118 1683530 2020236 2525295 3367060 5050590 6229061 10101180 12458122 16330241 18687183 24916244 31145305 32660482 37374366 48990723 62290610 65320964 74748732 81651205 93435915 97981446 124581220 163302410 186871830 195962892 244953615 326604820 373743660 489907230 604218917 979814460 1208437834 1812656751 2416875668 3021094585 3625313502 6042189170 7250627004 9063283755 12084378340 18126567510 36253135020