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20541142400 = 27526419107
BaseRepresentation
bin10011001000010110…
…001111010110000000
31222000112210011001212
4103020112033112000
5314032013024100
613234135545252
71325012554352
oct231026172600
958015704055
1020541142400
118790a37349
123b9322b228
131c2483653c
14dcc10b0d2
1580350e635
hex4c858f580

20541142400 has 48 divisors (see below), whose sum is σ = 50743048740. Its totient is φ = 8216455680.

The previous prime is 20541142399. The next prime is 20541142409. The reversal of 20541142400 is 424114502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20541142409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3206354 + ... + 3212753.

Almost surely, 220541142400 is an apocalyptic number.

20541142400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20541142400 is an abundant number, since it is smaller than the sum of its proper divisors (30201906340).

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

20541142400 is an equidigital number, since it uses as much as digits as its factorization.

20541142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6419131 (or 6419114 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 20541142400 its reverse (424114502), we get a palindrome (20965256902).

The spelling of 20541142400 in words is "twenty billion, five hundred forty-one million, one hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 6419107 12838214 25676428 32095535 51352856 64191070 102705712 128382140 160477675 205411424 256764280 320955350 410822848 513528560 641910700 821645696 1027057120 1283821400 2054114240 2567642800 4108228480 5135285600 10270571200 20541142400