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56998687200 = 25352713260983
BaseRepresentation
bin110101000101011000…
…101111000111100000
312110010100002022120220
4311011120233013200
51413213130442300
642103531403040
74055323563420
oct650530570740
9173110068526
1056998687200
112219a300364
12b0688b3480
1354b4a06260
142a8a028480
151738eeeda0
hexd4562f1e0

56998687200 has 288 divisors, whose sum is σ = 228346384896. Its totient is φ = 12026050560.

The previous prime is 56998687171. The next prime is 56998687223. The reversal of 56998687200 is 278689965.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87909 + ... + 348891.

It is an arithmetic number, because the mean of its divisors is an integer number (792869392).

Almost surely, 256998687200 is an apocalyptic number.

56998687200 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 56998687200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114173192448).

56998687200 is an abundant number, since it is smaller than the sum of its proper divisors (171347697696).

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

56998687200 is a wasteful number, since it uses less digits than its factorization.

56998687200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261026 (or 261013 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 56998687200 in words is "fifty-six billion, nine hundred ninety-eight million, six hundred eighty-seven thousand, two hundred".