Search a number
-
+
21924057816 = 2332304500803
BaseRepresentation
bin10100011010110001…
…101001001011011000
32002120220222112101100
4110122301221023120
5324400024322231
614023300351400
71404204262623
oct243261511330
962526875340
1021924057816
119330617151
1242ba3a5560
1320b51b289b
1410bda52dba
15884b2c1e6
hex51ac692d8

21924057816 has 24 divisors (see below), whose sum is σ = 59377656780. Its totient is φ = 7308019248.

The previous prime is 21924057791. The next prime is 21924057821. The reversal of 21924057816 is 61875042912.

21924057816 is a `hidden beast` number, since 21 + 9 + 2 + 40 + 578 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×219240578162 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 152250330 + ... + 152250473.

Almost surely, 221924057816 is an apocalyptic number.

It is an amenable number.

21924057816 is an abundant number, since it is smaller than the sum of its proper divisors (37453598964).

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

21924057816 is a wasteful number, since it uses less digits than its factorization.

21924057816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304500815 (or 304500808 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 21924057816 in words is "twenty-one billion, nine hundred twenty-four million, fifty-seven thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 304500803 609001606 913502409 1218003212 1827004818 2436006424 2740507227 3654009636 5481014454 7308019272 10962028908 21924057816