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161775722240 = 28511210310141
BaseRepresentation
bin1001011010101010010…
…1011001111100000000
3120110120102120011222022
42112222211121330000
510122304041102430
6202152503101012
714454644643656
oct2265245317400
9513512504868
10161775722240
11626771a5600
122742a441768
1312342109442
147b896aadd6
15431c7ec4e5
hex25aa959f00

161775722240 has 216 divisors, whose sum is σ = 430111185504. Its totient is φ = 58250649600.

The previous prime is 161775722233. The next prime is 161775722279. The reversal of 161775722240 is 42227577161.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 161775722191 and 161775722200.

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 23 ways as a sum of consecutive naturals, for example, 15947570 + ... + 15957710.

Almost surely, 2161775722240 is an apocalyptic number.

161775722240 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 161775722240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215055592752).

161775722240 is an abundant number, since it is smaller than the sum of its proper divisors (268335463264).

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

161775722240 is a wasteful number, since it uses less digits than its factorization.

161775722240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10287 (or 10262 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 44.

The spelling of 161775722240 in words is "one hundred sixty-one billion, seven hundred seventy-five million, seven hundred twenty-two thousand, two hundred forty".