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20400200424 = 2332416910637
BaseRepresentation
bin10010111111111100…
…100101101011101000
31221122201120120000200
4102333330211223220
5313234422403144
613212143032200
71321351561662
oct227774455350
957581516020
1020400200424
11871942157a
123b53b9b660
131c01589516
14db74dd532
157e5e6dc69
hex4bff25ae8

20400200424 has 48 divisors (see below), whose sum is σ = 56598125220. Its totient is φ = 6634210560.

The previous prime is 20400200419. The next prime is 20400200521. The reversal of 20400200424 is 42400200402.

20400200424 is a `hidden beast` number, since 2 + 0 + 40 + 0 + 200 + 424 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14046516324 + 6353684100 = 118518^2 + 79710^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20400200397 and 20400200406.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3452367 + ... + 3458270.

Almost surely, 220400200424 is an apocalyptic number.

20400200424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20400200424 is an abundant number, since it is smaller than the sum of its proper divisors (36197924796).

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

20400200424 is a wasteful number, since it uses less digits than its factorization.

20400200424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6910690 (or 6910683 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 20400200424 its reverse (42400200402), we get a palindrome (62800400826).

The spelling of 20400200424 in words is "twenty billion, four hundred million, two hundred thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 6910637 13821274 20731911 27642548 41463822 55285096 62195733 82927644 124391466 165855288 248782932 283336117 497565864 566672234 850008351 1133344468 1700016702 2266688936 2550025053 3400033404 5100050106 6800066808 10200100212 20400200424