Search a number
-
+
21889052640 = 253257413487
BaseRepresentation
bin10100011000101100…
…000110111111100000
32002111111010002022100
4110120230012333200
5324312044141030
614020010210400
71403300610000
oct243054067740
962444102270
1021889052640
119312888254
1242aa723a00
1320aab77670
1410b9140000
15881a15360
hex518b06fe0

21889052640 has 720 divisors, whose sum is σ = 94036426848. Its totient is φ = 4608866304.

The previous prime is 21889052609. The next prime is 21889052671. The reversal of 21889052640 is 4625098812.

21889052640 is a `hidden beast` number, since 2 + 1 + 8 + 89 + 0 + 526 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (21889052609) and next prime (21889052671).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 44946477 + ... + 44946963.

Almost surely, 221889052640 is an apocalyptic number.

21889052640 is a gapful number since it is divisible by the number (20) 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 21889052640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47018213424).

21889052640 is an abundant number, since it is smaller than the sum of its proper divisors (72147374208).

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

21889052640 is a wasteful number, since it uses less digits than its factorization.

21889052640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 21889052640 in words is "twenty-one billion, eight hundred eighty-nine million, fifty-two thousand, six hundred forty".