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1999537056 = 253311613449
BaseRepresentation
bin111011100101110…
…1000001110100000
312011100111000012000
41313023220032200
513043340141211
6530225004000
7100356533046
oct16713501640
95140430160
101999537056
11936760870
12479783600
1325b34472a
1414d7b8396
15ba820656
hex772e83a0

1999537056 has 192 divisors, whose sum is σ = 6468336000. Its totient is φ = 595814400.

The previous prime is 1999537051. The next prime is 1999537063. The reversal of 1999537056 is 6507359991.

1999537056 is a `hidden beast` number, since 19 + 99 + 537 + 0 + 5 + 6 = 666.

It is a super-3 number, since 3×19995370563 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1999536993 and 1999537011.

It is not an unprimeable number, because it can be changed into a prime (1999537051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 578020 + ... + 581468.

It is an arithmetic number, because the mean of its divisors is an integer number (33689250).

Almost surely, 21999537056 is an apocalyptic number.

1999537056 is a gapful number since it is divisible by the number (16) 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 1999537056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3234168000).

1999537056 is an abundant number, since it is smaller than the sum of its proper divisors (4468798944).

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

1999537056 is a wasteful number, since it uses less digits than its factorization.

1999537056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540 (or 3526 counting only the distinct ones).

The product of its (nonzero) digits is 2296350, while the sum is 54.

The square root of 1999537056 is about 44716.1833791749. The cubic root of 1999537056 is about 1259.8238302449.

The spelling of 1999537056 in words is "one billion, nine hundred ninety-nine million, five hundred thirty-seven thousand, fifty-six".