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56004399000 = 233353111011867
BaseRepresentation
bin110100001010000111…
…110100111110011000
312100120001011020121000
4310022013310332120
51404144111232000
641421132345000
74021561352124
oct641207647630
9170501136530
1056004399000
112182a028980
12aa2b915160
135386a18b44
1429d3d66584
1516cba9b000
hexd0a1f4f98

56004399000 has 512 divisors, whose sum is σ = 214010035200. Its totient is φ = 13435200000.

The previous prime is 56004398977. The next prime is 56004399007. The reversal of 56004399000 is 99340065.

56004399000 is a `hidden beast` number, since 5 + 600 + 43 + 9 + 9 + 0 + 0 + 0 = 666.

56004399000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56004399007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29996067 + ... + 29997933.

It is an arithmetic number, because the mean of its divisors is an integer number (417988350).

Almost surely, 256004399000 is an apocalyptic number.

56004399000 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 56004399000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107005017600).

56004399000 is an abundant number, since it is smaller than the sum of its proper divisors (158005636200).

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

56004399000 is a wasteful number, since it uses less digits than its factorization.

56004399000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 56004399000 in words is "fifty-six billion, four million, three hundred ninety-nine thousand".