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21346838048 = 2519197178223
BaseRepresentation
bin10011111000010111…
…101110011000100000
32001002200211201201102
4103320113232120200
5322204242304143
613450120453532
71353665062304
oct237027563040
961080751642
1021346838048
119064808418
12417901a2a8
132022731a23
141067119d04
1584e10e0b8
hex4f85ee620

21346838048 has 48 divisors (see below), whose sum is σ = 44463323520. Its totient is φ = 10060275456.

The previous prime is 21346838033. The next prime is 21346838063. The reversal of 21346838048 is 84083864312.

It is an interprime number because it is at equal distance from previous prime (21346838033) and next prime (21346838063).

It is a junction number, because it is equal to n+sod(n) for n = 21346837993 and 21346838011.

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 7 ways as a sum of consecutive naturals, for example, 30665 + ... + 208887.

It is an arithmetic number, because the mean of its divisors is an integer number (926319240).

Almost surely, 221346838048 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 21346838048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22231661760).

21346838048 is an abundant number, since it is smaller than the sum of its proper divisors (23116485472).

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

21346838048 is a wasteful number, since it uses less digits than its factorization.

21346838048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178449 (or 178441 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 47.

The spelling of 21346838048 in words is "twenty-one billion, three hundred forty-six million, eight hundred thirty-eight thousand, forty-eight".

Divisors: 1 2 4 8 16 19 32 38 76 152 197 304 394 608 788 1576 3152 3743 6304 7486 14972 29944 59888 119776 178223 356446 712892 1425784 2851568 3386237 5703136 6772474 13544948 27089896 35109931 54179792 70219862 108359584 140439724 280879448 561758896 667088689 1123517792 1334177378 2668354756 5336709512 10673419024 21346838048