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161475213312 = 211347241577
BaseRepresentation
bin1001011001100010101…
…1000011100000000000
3120102210111002202020000
42112120223003200000
510121200123311222
6202103010120000
714444335444440
oct2263053034000
9512714082200
10161475213312
1162532603816
1227365880000
13122c4a90aca
147b5b804120
15430123c9ac
hex2598ac3800

161475213312 has 480 divisors, whose sum is σ = 554462868960. Its totient is φ = 45864714240.

The previous prime is 161475213241. The next prime is 161475213313. The reversal of 161475213312 is 213312574161.

161475213312 is a `hidden beast` number, since 1 + 61 + 4 + 75 + 213 + 312 = 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 (161475213313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 279852768 + ... + 279853344.

It is an arithmetic number, because the mean of its divisors is an integer number (1155130977).

Almost surely, 2161475213312 is an apocalyptic number.

161475213312 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 161475213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277231434480).

161475213312 is an abundant number, since it is smaller than the sum of its proper divisors (392987655648).

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

161475213312 is an equidigital number, since it uses as much as digits as its factorization.

161475213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 830 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

Adding to 161475213312 its reverse (213312574161), we get a palindrome (374787787473).

The spelling of 161475213312 in words is "one hundred sixty-one billion, four hundred seventy-five million, two hundred thirteen thousand, three hundred twelve".