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161202301920 = 253251119535627
BaseRepresentation
bin1001011000100001100…
…1111110101111100000
3120102002110120102011200
42112020121332233200
510120120242130140
6202015540441200
714434512646422
oct2261031765740
9512073512150
10161202301920
1162402551410
12272aa3a9200
1312280388a8a
147b33482812
1542d72d0030
hex258867ebe0

161202301920 has 288 divisors, whose sum is σ = 631698238080. Its totient is φ = 37022469120.

The previous prime is 161202301919. The next prime is 161202301921. The reversal of 161202301920 is 29103202161.

161202301920 is a `hidden beast` number, since 1 + 612 + 0 + 2 + 30 + 19 + 2 + 0 = 666.

161202301920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (161202301919) and next prime (161202301921).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161202301921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33147 + ... + 568773.

It is an arithmetic number, because the mean of its divisors is an integer number (2193396660).

Almost surely, 2161202301920 is an apocalyptic number.

161202301920 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 161202301920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315849119040).

161202301920 is an abundant number, since it is smaller than the sum of its proper divisors (470495936160).

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

161202301920 is a wasteful number, since it uses less digits than its factorization.

161202301920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535678 (or 535667 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 161202301920 in words is "one hundred sixty-one billion, two hundred two million, three hundred one thousand, nine hundred twenty".