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163361330496 = 26337213148411
BaseRepresentation
bin1001100000100100011…
…0000001010101000000
3120121122221011102121000
42120021012001111000
510134031000033441
6203014104132000
714542150253400
oct2301106012500
9517587142530
10163361330496
1163310237551
12277b1467000
1312535773690
147c9a0d6800
1543b1b072b6
hex2609181540

163361330496 has 336 divisors, whose sum is σ = 601638502080. Its totient is φ = 43084016640.

The previous prime is 163361330491. The next prime is 163361330513. The reversal of 163361330496 is 694033163361.

163361330496 is a `hidden beast` number, since 1 + 6 + 336 + 1 + 3 + 304 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163361330491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1026531 + ... + 1174941.

It is an arithmetic number, because the mean of its divisors is an integer number (1790590780).

Almost surely, 2163361330496 is an apocalyptic number.

163361330496 is a gapful number since it is divisible by the number (16) 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 163361330496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300819251040).

163361330496 is an abundant number, since it is smaller than the sum of its proper divisors (438277171584).

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

163361330496 is a wasteful number, since it uses less digits than its factorization.

163361330496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148459 (or 148436 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The spelling of 163361330496 in words is "one hundred sixty-three billion, three hundred sixty-one million, three hundred thirty thousand, four hundred ninety-six".