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20684361572 = 22722336732
BaseRepresentation
bin10011010000111000…
…100100111101100100
31222101112021102211122
4103100320210331210
5314330144032242
613300253353112
71331402113100
oct232070447544
958345242748
1020684361572
118854867aa6
124013198798
131c483ccc04
14100314c900
15810d9ead2
hex4d0e24f64

20684361572 has 54 divisors (see below), whose sum is σ = 42351097698. Its totient is φ = 8813564928.

The previous prime is 20684361527. The next prime is 20684361589. The reversal of 20684361572 is 27516348602.

It can be written as a sum of positive squares in 3 ways, for example, as 67996516 + 20616365056 = 8246^2 + 143584^2 .

It is a super-2 number, since 2×206843615722 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 30734228 + ... + 30734900.

It is an arithmetic number, because the mean of its divisors is an integer number (784279587).

Almost surely, 220684361572 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 20684361572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21175548849).

20684361572 is an abundant number, since it is smaller than the sum of its proper divisors (21666736126).

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

20684361572 is an equidigital number, since it uses as much as digits as its factorization.

20684361572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 20684361572 in words is "twenty billion, six hundred eighty-four million, three hundred sixty-one thousand, five hundred seventy-two".

Divisors: 1 2 4 7 14 28 49 98 196 233 466 673 932 1346 1631 2692 3262 4711 6524 9422 11417 18844 22834 32977 45668 65954 131908 156809 313618 452929 627236 905858 1097663 1811716 2195326 3170503 4390652 6341006 7683641 12682012 15367282 22193521 30734564 44387042 88774084 105532457 211064914 422129828 738727199 1477454398 2954908796 5171090393 10342180786 20684361572