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56020604342400 = 273252173395921
BaseRepresentation
bin11001011110011010100000…
…01110001101000010000000
321100100111222020101212012200
430233031100032031002000
524320320144202424100
6315051302122553200
714541232541102355
oct1457152016150200
9240314866355180
1056020604342400
1116939228773995
126349203068800
132534949716949
14db95a9a7662c
1567235793ce00
hex32f35038d080

56020604342400 has 576 divisors, whose sum is σ = 212385745002600. Its totient is φ = 14060037734400.

The previous prime is 56020604342377. The next prime is 56020604342453. The reversal of 56020604342400 is 424340602065.

56020604342400 is a `hidden beast` number, since 5 + 6 + 0 + 2 + 0 + 604 + 3 + 4 + 2 + 40 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 126798663744 + 55893805678656 = 356088^2 + 7476216^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×560206043424002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 141296440 + ... + 141692360.

Almost surely, 256020604342400 is an apocalyptic number.

56020604342400 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 56020604342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106192872501300).

56020604342400 is an abundant number, since it is smaller than the sum of its proper divisors (156365140660200).

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

56020604342400 is a wasteful number, since it uses less digits than its factorization.

56020604342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396002 (or 395948 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 56020604342400 its reverse (424340602065), we get a palindrome (56444944944465).

The spelling of 56020604342400 in words is "fifty-six trillion, twenty billion, six hundred four million, three hundred forty-two thousand, four hundred".