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20035406400 = 263524174043
BaseRepresentation
bin10010101010001101…
…000000101001000000
31220201022011002200220
4102222031000221000
5312013031001100
613112032143040
71306332100362
oct225215005100
956638132626
1020035406400
118551512409
123a71997a80
131b73b23679
14d80ca0d32
157c3e11aa0
hex4aa340a40

20035406400 has 84 divisors (see below), whose sum is σ = 65732844912. Its totient is φ = 5342773760.

The previous prime is 20035406383. The next prime is 20035406441. The reversal of 20035406400 is 460453002.

It is a super-2 number, since 2×200354064002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2082222 + ... + 2091821.

It is an arithmetic number, because the mean of its divisors is an integer number (782533868).

Almost surely, 220035406400 is an apocalyptic number.

20035406400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20035406400 is an abundant number, since it is smaller than the sum of its proper divisors (45697438512).

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

20035406400 is a wasteful number, since it uses less digits than its factorization.

20035406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4174068 (or 4174053 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 20035406400 its reverse (460453002), we get a palindrome (20495859402).

The spelling of 20035406400 in words is "twenty billion, thirty-five million, four hundred six thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 4174043 8348086 12522129 16696172 20870215 25044258 33392344 41740430 50088516 62610645 66784688 83480860 100177032 104351075 125221290 133569376 166961720 200354064 208702150 250442580 267138752 313053225 333923440 400708128 417404300 500885160 626106450 667846880 801416256 834808600 1001770320 1252212900 1335693760 1669617200 2003540640 2504425800 3339234400 4007081280 5008851600 6678468800 10017703200 20035406400