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1999744032 = 25311133137127
BaseRepresentation
bin111011100110001…
…1010110000100000
312011100212112002210
41313030122300200
513043413302112
6530233242120
7100361354346
oct16714326040
95140775083
101999744032
11936892320
12479863340
1325b3b79c0
1414d82d996
15ba861b3c
hex7731ac20

1999744032 has 384 divisors, whose sum is σ = 6589513728. Its totient is φ = 522547200.

The previous prime is 1999744009. The next prime is 1999744081. The reversal of 1999744032 is 2304479991.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15745953 + ... + 15746079.

It is an arithmetic number, because the mean of its divisors is an integer number (17160192).

Almost surely, 21999744032 is an apocalyptic number.

1999744032 is a gapful number since it is divisible by the number (12) 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 1999744032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3294756864).

1999744032 is an abundant number, since it is smaller than the sum of its proper divisors (4589769696).

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

1999744032 is a wasteful number, since it uses less digits than its factorization.

1999744032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 1999744032 is about 44718.4976491832. The cubic root of 1999744032 is about 1259.8672976898.

It can be divided in two parts, 1999 and 744032, that added together give a triangular number (746031 = T1221).

The spelling of 1999744032 in words is "one billion, nine hundred ninety-nine million, seven hundred forty-four thousand, thirty-two".