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19955835648 = 28337258921
BaseRepresentation
bin10010100101011101…
…011110001100000000
31220111202102111011000
4102211131132030000
5311332143220043
613100110452000
71304344542600
oct224535361400
956452374130
1019955835648
118510604761
123a4b204000
131b604b3798
14d744aac00
157bbe452d3
hex4a575e300

19955835648 has 216 divisors, whose sum is σ = 68648843760. Its totient is φ = 5701570560.

The previous prime is 19955835637. The next prime is 19955835737. The reversal of 19955835648 is 84653855991.

19955835648 is a `hidden beast` number, since 1 + 9 + 9 + 5 + 583 + 5 + 6 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309228 + ... + 368148.

Almost surely, 219955835648 is an apocalyptic number.

19955835648 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 19955835648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34324421880).

19955835648 is an abundant number, since it is smaller than the sum of its proper divisors (48693008112).

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

19955835648 is an equidigital number, since it uses as much as digits as its factorization.

19955835648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58960 (or 58933 counting only the distinct ones).

The product of its digits is 46656000, while the sum is 63.

The spelling of 19955835648 in words is "nineteen billion, nine hundred fifty-five million, eight hundred thirty-five thousand, six hundred forty-eight".