Search a number
-
+
20035177800 = 233521129104677
BaseRepresentation
bin10010101010001100…
…001000110101001000
31220201021201111010020
4102222030020311020
5312013001142200
613112023220440
71306330126041
oct225214106510
956637644106
1020035177800
118551376690
123a718a7720
131b73a735c1
14d80c418c8
157c3db8ea0
hex4aa308d48

20035177800 has 192 divisors, whose sum is σ = 70092388800. Its totient is φ = 4689484800.

The previous prime is 20035177787. The next prime is 20035177823. The reversal of 20035177800 is 877153002.

It is a super-2 number, since 2×200351778002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139062 + ... + 243738.

It is an arithmetic number, because the mean of its divisors is an integer number (365064525).

Almost surely, 220035177800 is an apocalyptic number.

20035177800 is a gapful number since it is divisible by the number (20) 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 20035177800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35046194400).

20035177800 is an abundant number, since it is smaller than the sum of its proper divisors (50057211000).

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

20035177800 is a wasteful number, since it uses less digits than its factorization.

20035177800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104736 (or 104727 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The spelling of 20035177800 in words is "twenty billion, thirty-five million, one hundred seventy-seven thousand, eight hundred".