Search a number
-
+
21873449268 = 2232112191272081
BaseRepresentation
bin10100010111110000…
…100101100100110100
32002110101202100111200
4110113300211210310
5324244100334033
614014251532500
71403021152056
oct242760454464
962411670450
1021873449268
119304aa0200
1242a545a130
1320a78734b8
1410b703b8d6
15880482013
hex517c25934

21873449268 has 216 divisors, whose sum is σ = 64508021760. Its totient is φ = 6227020800.

The previous prime is 21873449263. The next prime is 21873449291. The reversal of 21873449268 is 86294437812.

21873449268 is a `hidden beast` number, since 21 + 8 + 73 + 4 + 492 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21873449261) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10509988 + ... + 10512068.

Almost surely, 221873449268 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 21873449268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32254010880).

21873449268 is an abundant number, since it is smaller than the sum of its proper divisors (42634572492).

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

21873449268 is a wasteful number, since it uses less digits than its factorization.

21873449268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259 (or 2243 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 21873449268 in words is "twenty-one billion, eight hundred seventy-three million, four hundred forty-nine thousand, two hundred sixty-eight".