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21835930536 = 2333731795897
BaseRepresentation
bin10100010101100001…
…011101101110101000
32002100210011012111000
4110111201131232220
5324204444234121
614010431435000
71402054230030
oct242541355650
962323135430
1021835930536
1192958a4892
124294985a60
13209cb68174
1410b20728c0
1587c020526
hex51585dba8

21835930536 has 256 divisors, whose sum is σ = 72474624000. Its totient is φ = 5960148480.

The previous prime is 21835930439. The next prime is 21835930553. The reversal of 21835930536 is 63503953812.

It is a happy number.

21835930536 is a `hidden beast` number, since 2 + 1 + 8 + 3 + 593 + 0 + 53 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21835930491 and 21835930500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3699940 + ... + 3705836.

It is an arithmetic number, because the mean of its divisors is an integer number (283104000).

Almost surely, 221835930536 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 21835930536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36237312000).

21835930536 is an abundant number, since it is smaller than the sum of its proper divisors (50638693464).

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

21835930536 is a wasteful number, since it uses less digits than its factorization.

21835930536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6029 (or 6019 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 21835930536 in words is "twenty-one billion, eight hundred thirty-five million, nine hundred thirty thousand, five hundred thirty-six".