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19983237120 = 2193257112
BaseRepresentation
bin10010100111000110…
…000000000000000000
31220120122222121220100
4102213012000000000
5311411202041440
613102530042400
71305126466350
oct224706000000
956518877810
1019983237120
11852501a900
123a58419400
131b66088a82
14d77da0b60
157be559230
hex4a7180000

19983237120 has 720 divisors, whose sum is σ = 87023336400. Its totient is φ = 4152360960.

The previous prime is 19983237097. The next prime is 19983237121. The reversal of 19983237120 is 2173238991.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19983237121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1816657915 + ... + 1816657925.

It is an arithmetic number, because the mean of its divisors is an integer number (120865745).

Almost surely, 219983237120 is an apocalyptic number.

19983237120 is a gapful number since it is divisible by the number (10) 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 19983237120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43511668200).

19983237120 is an abundant number, since it is smaller than the sum of its proper divisors (67040099280).

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

19983237120 is an frugal number, since it uses more digits than its factorization.

19983237120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 19983237120 in words is "nineteen billion, nine hundred eighty-three million, two hundred thirty-seven thousand, one hundred twenty".