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20367088192 = 261149957977
BaseRepresentation
bin10010111101111110…
…010001101001000000
31221120102021021120201
4102331332101221000
5313202433310232
613205001214544
71320500251603
oct227576215100
957512237521
1020367088192
1187017658a0
123b44a91454
131bc7764a99
14db2d6033a
157e30ccbe7
hex4bdf91a40

20367088192 has 56 divisors (see below), whose sum is σ = 44179236000. Its totient is φ = 9239055360.

The previous prime is 20367088177. The next prime is 20367088193. The reversal of 20367088192 is 29188076302.

It is not an unprimeable number, because it can be changed into a prime (20367088193) 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 7 ways as a sum of consecutive naturals, for example, 322308 + ... + 380284.

Almost surely, 220367088192 is an apocalyptic number.

20367088192 is a gapful number since it is divisible by the number (22) 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 20367088192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22089618000).

20367088192 is an abundant number, since it is smaller than the sum of its proper divisors (23812147808).

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

20367088192 is a wasteful number, since it uses less digits than its factorization.

20367088192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58499 (or 58489 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

It can be divided in two parts, 2036708 and 8192, that added together give a square (2044900 = 14302).

The spelling of 20367088192 in words is "twenty billion, three hundred sixty-seven million, eighty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 499 704 998 1996 3992 5489 7984 10978 15968 21956 31936 43912 57977 87824 115954 175648 231908 351296 463816 637747 927632 1275494 1855264 2550988 3710528 5101976 10203952 20407904 28930523 40815808 57861046 115722092 231444184 318235753 462888368 636471506 925776736 1272943012 1851553472 2545886024 5091772048 10183544096 20367088192