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108388442176 = 267258792
BaseRepresentation
bin110010011110001110…
…1000110000001000000
3101100202202222100122021
41210330131012001000
53233434420122201
6121443140251224
710554652362100
oct1447435060100
9340682870567
10108388442176
1141a704a4943
121900b0a0b14
13a2b46784b1
145363161200
152c458b3ea1
hex193c746040

108388442176 has 63 divisors (see below), whose sum is σ = 250241523519. Its totient is φ = 46444288128.

The previous prime is 108388442161. The next prime is 108388442177. The reversal of 108388442176 is 671244883801.

The square root of 108388442176 is 329224.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×1083884421762 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (108388442177) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18433605 + ... + 18439483.

Almost surely, 2108388442176 is an apocalyptic number.

108388442176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

108388442176 is the 329224-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108388442176

108388442176 is an abundant number, since it is smaller than the sum of its proper divisors (141853081343).

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

108388442176 is an frugal number, since it uses more digits than its factorization.

108388442176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11784 (or 5888 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 52.

It can be divided in two parts, 108388 and 442176, that added together give a square (550564 = 7422).

The spelling of 108388442176 in words is "one hundred eight billion, three hundred eighty-eight million, four hundred forty-two thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 5879 11758 23516 41153 47032 82306 94064 164612 188128 288071 329224 376256 576142 658448 1152284 1316896 2304568 2633792 4609136 9218272 18436544 34562641 69125282 138250564 241938487 276501128 483876974 553002256 967753948 1106004512 1693569409 1935507896 2212009024 3387138818 3871015792 6774277636 7742031584 13548555272 15484063168 27097110544 54194221088 108388442176