Search a number
-
+
21930099048 = 23321131329607
BaseRepresentation
bin10100011011001000…
…101100000101101000
32002121100100110101200
4110123020230011220
5324403101132143
614024034044200
71404306523554
oct243310540550
962540313350
1021930099048
119333a73000
124300419660
1320b6519590
1410c0786864
158854221d3
hex51b22c168

21930099048 has 384 divisors, whose sum is σ = 72900172800. Its totient is φ = 5913008640.

The previous prime is 21930099013. The next prime is 21930099067. The reversal of 21930099048 is 84099003912.

21930099048 is a `hidden beast` number, since 219 + 300 + 9 + 90 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21930098994 and 21930099012.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36128361 + ... + 36128967.

It is an arithmetic number, because the mean of its divisors is an integer number (189844200).

Almost surely, 221930099048 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 21930099048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36450086400).

21930099048 is an abundant number, since it is smaller than the sum of its proper divisors (50970073752).

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

21930099048 is a wasteful number, since it uses less digits than its factorization.

21930099048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 21930099048 in words is "twenty-one billion, nine hundred thirty million, ninety-nine thousand, forty-eight".