Search a number
-
+
231572672640 = 27325172364917
BaseRepresentation
bin1101011110101011001…
…1101001000010000000
3211010201200211122011100
43113222303221002000
512243230101011030
6254214422014400
722505405145201
oct3275263510200
9733650748140
10231572672640
118a233811491
1238a69277400
1318ab646c6aa
14b2cb3495a8
1560551a0360
hex35eace9080

231572672640 has 192 divisors, whose sum is σ = 846687942360. Its totient is φ = 58120175616.

The previous prime is 231572672621. The next prime is 231572672663. The reversal of 231572672640 is 46276275132.

231572672640 is a `hidden beast` number, since 2 + 3 + 1 + 572 + 6 + 72 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 228767063616 + 2805609024 = 478296^2 + 52968^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

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, 1084539 + ... + 1280378.

Almost surely, 2231572672640 is an apocalyptic number.

231572672640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231572672640 is an abundant number, since it is smaller than the sum of its proper divisors (615115269720).

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

231572672640 is a wasteful number, since it uses less digits than its factorization.

231572672640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364959 (or 2364944 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 231572672640 in words is "two hundred thirty-one billion, five hundred seventy-two million, six hundred seventy-two thousand, six hundred forty".