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56411023104000 = 2113753195303
BaseRepresentation
bin11001101001110001101101…
…11111100101100000000000
321101201211201012011220000000
430310320312333211200000
524343214233403312000
6315550511040000000
714611363511603625
oct1464706677454000
9241654635156000
1056411023104000
1116a79864a01044
1263b0a01600000
1325626c9047946
14dd044556234c
1567c5a80e6000
hex334e36fe5800

56411023104000 has 1536 divisors, whose sum is σ = 222272563968000. Its totient is φ = 14248518451200.

The previous prime is 56411023103947. The next prime is 56411023104011. The reversal of 56411023104000 is 40132011465.

It is a happy number.

56411023104000 is a `hidden beast` number, since 5 + 641 + 1 + 0 + 2 + 3 + 10 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10637565349 + ... + 10637570651.

It is an arithmetic number, because the mean of its divisors is an integer number (144708700500).

Almost surely, 256411023104000 is an apocalyptic number.

56411023104000 is a gapful number since it is divisible by the number (50) 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 56411023104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111136281984000).

56411023104000 is an abundant number, since it is smaller than the sum of its proper divisors (165861540864000).

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

56411023104000 is an frugal number, since it uses more digits than its factorization.

56411023104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5380 (or 5332 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 56411023104000 its reverse (40132011465), we get a palindrome (56451155115465).

The spelling of 56411023104000 in words is "fifty-six trillion, four hundred eleven billion, twenty-three million, one hundred four thousand".