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161704892160 = 28335721741137
BaseRepresentation
bin1001011010011001011…
…1001101011100000000
3120110101111021122101000
42112212113031130000
510122132423022120
6202141453012000
714453124622200
oct2264627153400
9513344248330
10161704892160
1162640217949
122740a784000
1312330539b56
147b80110400
1543164aa990
hex25a65cd700

161704892160 has 1728 divisors, whose sum is σ = 729302797440. Its totient is φ = 33690746880.

The previous prime is 161704892123. The next prime is 161704892171. The reversal of 161704892160 is 61298407161.

161704892160 is a `hidden beast` number, since 1 + 6 + 1 + 7 + 0 + 489 + 2 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×1617048921602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1180327612 + ... + 1180327748.

It is an arithmetic number, because the mean of its divisors is an integer number (422050230).

Almost surely, 2161704892160 is an apocalyptic number.

161704892160 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 161704892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364651398720).

161704892160 is an abundant number, since it is smaller than the sum of its proper divisors (567597905280).

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

161704892160 is a wasteful number, since it uses less digits than its factorization.

161704892160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 161704892160 in words is "one hundred sixty-one billion, seven hundred four million, eight hundred ninety-two thousand, one hundred sixty".