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161934120192 = 28313151233461
BaseRepresentation
bin1001011011010000000…
…1101001010100000000
3120110222110121122010010
42112310001221110000
510123120113321232
6202220322104520
714461610211405
oct2266401512400
9513873548103
10161934120192
11627486532a9
12274734ab140
1312368b88940
147ba27402ac
15432b68a0cc
hex25b4069500

161934120192 has 288 divisors, whose sum is σ = 470230016256. Its totient is φ = 49176576000.

The previous prime is 161934120181. The next prime is 161934120197. The reversal of 161934120192 is 291021439161.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 161934120192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161934120197) 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 31 ways as a sum of consecutive naturals, for example, 351266842 + ... + 351267302.

It is an arithmetic number, because the mean of its divisors is an integer number (1632743112).

Almost surely, 2161934120192 is an apocalyptic number.

161934120192 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 161934120192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235115008128).

161934120192 is an abundant number, since it is smaller than the sum of its proper divisors (308295896064).

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

161934120192 is a wasteful number, since it uses less digits than its factorization.

161934120192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The spelling of 161934120192 in words is "one hundred sixty-one billion, nine hundred thirty-four million, one hundred twenty thousand, one hundred ninety-two".