Search a number
-
+
163374130332 = 22357371135743
BaseRepresentation
bin1001100000100111011…
…0110110010010011100
3120121200211020201200000
42120021312312102130
510134042234132312
6203015242334300
714542364123610
oct2301166662234
9517624221600
10163374130332
116331748a226
12277b57ba390
131253830574a
147c9baa9340
1543b2cd4adc
hex2609db649c

163374130332 has 288 divisors, whose sum is σ = 507215235072. Its totient is φ = 45006990336.

The previous prime is 163374130331. The next prime is 163374130343. The reversal of 163374130332 is 233031473361.

163374130332 is a `hidden beast` number, since 1 + 633 + 7 + 4 + 13 + 0 + 3 + 3 + 2 = 666.

It is a super-2 number, since 2×1633741303322 (a number of 23 digits) contains 22 as substring.

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 (163374130331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28444653 + ... + 28450395.

Almost surely, 2163374130332 is an apocalyptic number.

163374130332 is a gapful number since it is divisible by the number (12) 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 163374130332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253607617536).

163374130332 is an abundant number, since it is smaller than the sum of its proper divisors (343841104740).

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

163374130332 is a wasteful number, since it uses less digits than its factorization.

163374130332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5919 (or 5905 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 36.

The spelling of 163374130332 in words is "one hundred sixty-three billion, three hundred seventy-four million, one hundred thirty thousand, three hundred thirty-two".