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161316864 = 21532547
BaseRepresentation
bin10011001110110…
…00000000000000
3102020112202010200
421213120000000
5312244114424
624001325200
73666112362
oct1147300000
9366482120
10161316864
1183071825
1246036800
1327561c87
14175d2d32
15e2678c9
hex99d8000

161316864 has 96 divisors (see below), whose sum is σ = 466871340. Its totient is φ = 53673984.

The previous prime is 161316863. The next prime is 161316907. The reversal of 161316864 is 468613161.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1613168642 = 52046261221588992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161316863) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 294639 + ... + 295185.

Almost surely, 2161316864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161316864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233435670).

161316864 is an abundant number, since it is smaller than the sum of its proper divisors (305554476).

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

161316864 is an frugal number, since it uses more digits than its factorization.

161316864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 552 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 161316864 is about 12701.0575937597. The cubic root of 161316864 is about 544.3688386783.

The spelling of 161316864 in words is "one hundred sixty-one million, three hundred sixteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 547 576 768 1024 1094 1152 1536 1641 2048 2188 2304 3072 3282 4096 4376 4608 4923 6144 6564 8192 8752 9216 9846 12288 13128 16384 17504 18432 19692 24576 26256 32768 35008 36864 39384 49152 52512 70016 73728 78768 98304 105024 140032 147456 157536 210048 280064 294912 315072 420096 560128 630144 840192 1120256 1260288 1680384 2240512 2520576 3360768 4481024 5041152 6721536 8962048 10082304 13443072 17924096 20164608 26886144 40329216 53772288 80658432 161316864