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168944009472 = 283472166273
BaseRepresentation
bin1001110101010111011…
…0010000000100000000
3121011001222221220110000
42131111312100010000
510231444131300342
6205340052240000
715130406246400
oct2352566200400
9534058856400
10168944009472
1165715541927
12288ab010000
1312c15244c14
148269712800
1545dbca944c
hex2755d90100

168944009472 has 270 divisors, whose sum is σ = 586010598558. Its totient is φ = 48269426688.

The previous prime is 168944009389. The next prime is 168944009483. The reversal of 168944009472 is 274900449861.

168944009472 is a `hidden beast` number, since 1 + 6 + 89 + 4 + 400 + 94 + 72 = 666.

168944009472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 140607000576 + 28337008896 = 374976^2 + 168336^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 932928 + ... + 1099200.

Almost surely, 2168944009472 is an apocalyptic number.

168944009472 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 168944009472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293005299279).

168944009472 is an abundant number, since it is smaller than the sum of its proper divisors (417066589086).

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

168944009472 is an equidigital number, since it uses as much as digits as its factorization.

168944009472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166315 (or 166285 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 168944009472 in words is "one hundred sixty-eight billion, nine hundred forty-four million, nine thousand, four hundred seventy-two".