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1663197120 = 2632513311433
BaseRepresentation
bin110001100100010…
…0101111111000000
311021220121011112100
41203020211333000
511401234301440
6433012030400
756133641124
oct14310457700
94256534470
101663197120
11783916682
123a5002400
13206762010
1411ac65584
159b034230
hex63225fc0

1663197120 has 336 divisors, whose sum is σ = 6363931392. Its totient is φ = 395919360.

The previous prime is 1663197073. The next prime is 1663197121. The reversal of 1663197120 is 217913661.

1663197120 is a `hidden beast` number, since 1 + 6 + 631 + 9 + 7 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1663197121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1159924 + ... + 1161356.

It is an arithmetic number, because the mean of its divisors is an integer number (18940272).

Almost surely, 21663197120 is an apocalyptic number.

1663197120 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 1663197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181965696).

1663197120 is an abundant number, since it is smaller than the sum of its proper divisors (4700734272).

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

1663197120 is a wasteful number, since it uses less digits than its factorization.

1663197120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1663197120 is about 40782.3138137110. The cubic root of 1663197120 is about 1184.8078094549.

The spelling of 1663197120 in words is "one billion, six hundred sixty-three million, one hundred ninety-seven thousand, one hundred twenty".