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20400000002000 = 245395511067951
BaseRepresentation
bin1001010001101101111101…
…10000001110011111010000
32200020012222002000222101122
410220312332300032133100
510133213200000031000
6111215344114221412
74203565005651503
oct450667660163720
980205862028348
1020400000002000
1165556561a0993
1223557a6884868
13b4c933922c58
1450751842113a
152559b6780085
hex128dbec0e7d0

20400000002000 has 80 divisors (see below), whose sum is σ = 49332410809344. Its totient is φ = 8159138000000.

The previous prime is 20400000001973. The next prime is 20400000002017. The reversal of 20400000002000 is 20000000402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18568025 + ... + 19635975.

Almost surely, 220400000002000 is an apocalyptic number.

20400000002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20400000002000 is an abundant number, since it is smaller than the sum of its proper divisors (28932410807344).

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

20400000002000 is a wasteful number, since it uses less digits than its factorization.

20400000002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077525 (or 1077509 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

Adding to 20400000002000 its reverse (20000000402), we get a palindrome (20420000002402).

The spelling of 20400000002000 in words is "twenty trillion, four hundred billion, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 9551 19102 38204 47755 76408 95510 152816 191020 238775 382040 477550 764080 955100 1067951 1193875 1910200 2135902 2387750 3820400 4271804 4775500 5339755 8543608 9551000 10679510 17087216 19102000 21359020 26698775 42718040 53397550 85436080 106795100 133493875 213590200 266987750 427180400 533975500 1067951000 2135902000 10200000001 20400000002 40800000004 51000000005 81600000008 102000000010 163200000016 204000000020 255000000025 408000000040 510000000050 816000000080 1020000000100 1275000000125 2040000000200 2550000000250 4080000000400 5100000000500 10200000001000 20400000002000