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211238938368 = 2834171135303
BaseRepresentation
bin1100010010111011010…
…0100110011100000000
3202012020121022220120000
43010232310212130000
511430104132011433
6241013011320000
721155461231113
oct3045664463400
9665217286500
10211238938368
1181649967a17
1234b335b0000
1316bc58b5373
14a31c9cc57a
155764eb0113
hex312ed26700

211238938368 has 360 divisors, whose sum is σ = 672956732448. Its totient is φ = 65672183808.

The previous prime is 211238938343. The next prime is 211238938369. The reversal of 211238938368 is 863839832112.

211238938368 is a `hidden beast` number, since 2 + 1 + 123 + 89 + 383 + 68 = 666.

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

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 (211238938369) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39831205 + ... + 39836507.

Almost surely, 2211238938368 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 211238938368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336478366224).

211238938368 is an abundant number, since it is smaller than the sum of its proper divisors (461717794080).

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

211238938368 is a wasteful number, since it uses less digits than its factorization.

211238938368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5461 (or 5438 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 211238938368 in words is "two hundred eleven billion, two hundred thirty-eight million, nine hundred thirty-eight thousand, three hundred sixty-eight".