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20155301352 = 23321397192801
BaseRepresentation
bin10010110001010110…
…010111110111101000
31221000122202101122200
4102301112113313220
5312234224120402
613131554020200
71312316143344
oct226126276750
957018671580
1020155301352
11860316224a
123aa5b77660
131b92911824
14d92b90624
157ce6e621c
hex4b1597de8

20155301352 has 96 divisors (see below), whose sum is σ = 55076112000. Its totient is φ = 6658444800.

The previous prime is 20155301351. The next prime is 20155301359. The reversal of 20155301352 is 25310355102.

It is a happy number.

20155301352 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 5 + 301 + 352 = 666.

It is not an unprimeable number, because it can be changed into a prime (20155301351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7194352 + ... + 7197152.

It is an arithmetic number, because the mean of its divisors is an integer number (573709500).

Almost surely, 220155301352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20155301352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27538056000).

20155301352 is an abundant number, since it is smaller than the sum of its proper divisors (34920810648).

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

20155301352 is a wasteful number, since it uses less digits than its factorization.

20155301352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3671 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 20155301352 its reverse (25310355102), we get a palindrome (45465656454).

The spelling of 20155301352 in words is "twenty billion, one hundred fifty-five million, three hundred one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139 278 417 556 719 834 1112 1251 1438 1668 2157 2502 2801 2876 3336 4314 5004 5602 5752 6471 8403 8628 10008 11204 12942 16806 17256 22408 25209 25884 33612 50418 51768 67224 99941 100836 199882 201672 299823 389339 399764 599646 778678 799528 899469 1168017 1199292 1557356 1798938 2013919 2336034 2398584 3114712 3504051 3597876 4027838 4672068 6041757 7008102 7195752 8055676 9344136 12083514 14016204 16111352 18125271 24167028 28032408 36250542 48334056 72501084 145002168 279934741 559869482 839804223 1119738964 1679608446 2239477928 2519412669 3359216892 5038825338 6718433784 10077650676 20155301352