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161603430912 = 2933711157967
BaseRepresentation
bin1001011010000001010…
…0001010101000000000
3120110010102100212201000
42112200110022220000
510121430434242122
6202123430212000
714450453332620
oct2264024125000
9513112325630
10161603430912
1162598a18580
12273a07b4000
1312315504201
147b7085c880
15430c6180ac
hex25a050aa00

161603430912 has 640 divisors, whose sum is σ = 600812974080. Its totient is φ = 41664430080.

The previous prime is 161603430899. The next prime is 161603430913. The reversal of 161603430912 is 219034306161.

161603430912 is a `hidden beast` number, since 1 + 6 + 1 + 603 + 4 + 30 + 9 + 12 = 666.

It is a super-2 number, since 2×1616034309122 (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 not an unprimeable number, because it can be changed into a prime (161603430913) 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 63 ways as a sum of consecutive naturals, for example, 167117853 + ... + 167118819.

It is an arithmetic number, because the mean of its divisors is an integer number (938770272).

Almost surely, 2161603430912 is an apocalyptic number.

161603430912 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 161603430912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300406487040).

161603430912 is an abundant number, since it is smaller than the sum of its proper divisors (439209543168).

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

161603430912 is a wasteful number, since it uses less digits than its factorization.

161603430912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 161603430912 in words is "one hundred sixty-one billion, six hundred three million, four hundred thirty thousand, nine hundred twelve".