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19946385648 = 2433737473793
BaseRepresentation
bin10010100100111001…
…011011000011110000
31220111002122101012000
4102210321123003300
5311322233320043
613055132134000
71304201323560
oct224471330360
956432571160
1019946385648
11850623a842
123a48007300
131b5b555377
14d7312ada0
157bb1ca2d3
hex4a4e5b0f0

19946385648 has 320 divisors, whose sum is σ = 68648939520. Its totient is φ = 5425532928.

The previous prime is 19946385593. The next prime is 19946385661. The reversal of 19946385648 is 84658364991.

19946385648 is a `hidden beast` number, since 1 + 9 + 9 + 4 + 63 + 8 + 564 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 5256840 + ... + 5260632.

It is an arithmetic number, because the mean of its divisors is an integer number (214527936).

Almost surely, 219946385648 is an apocalyptic number.

19946385648 is a gapful number since it is divisible by the number (18) 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 19946385648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34324469760).

19946385648 is an abundant number, since it is smaller than the sum of its proper divisors (48702553872).

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

19946385648 is a wasteful number, since it uses less digits than its factorization.

19946385648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3901 (or 3889 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 19946385648 in words is "nineteen billion, nine hundred forty-six million, three hundred eighty-five thousand, six hundred forty-eight".