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16001744004 = 22322927272
BaseRepresentation
bin11101110011100011…
…10011110010000100
31112022012002211010100
432321301303302010
5230232421302004
611203500524100
71104352402611
oct167161636204
945265084110
1016001744004
116871627124
123126b50630
131680246c9c
14abb2a7508
15639c3c739
hex3b9c73c84

16001744004 has 81 divisors (see below), whose sum is σ = 41949439077. Its totient is φ = 5142902688.

The previous prime is 16001743997. The next prime is 16001744089. The reversal of 16001744004 is 40044710061.

The square root of 16001744004 is 126498.

It is a perfect power (a square), and thus also a powerful number.

16001744004 is a `hidden beast` number, since 1 + 600 + 17 + 4 + 40 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8390926404 + 7610817600 = 91602^2 + 87240^2 .

It is a super-2 number, since 2×160017440042 (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 26 ways as a sum of consecutive naturals, for example, 22010289 + ... + 22011015.

Almost surely, 216001744004 is an apocalyptic number.

16001744004 is the 126498-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16001744004

16001744004 is an abundant number, since it is smaller than the sum of its proper divisors (25947695073).

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

16001744004 is an equidigital number, since it uses as much as digits as its factorization.

16001744004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 16001744004 in words is "sixteen billion, one million, seven hundred forty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 727 841 1044 1454 1682 2181 2523 2908 3364 4362 5046 6543 7569 8724 10092 13086 15138 21083 26172 30276 42166 63249 84332 126498 189747 252996 379494 528529 611407 758988 1057058 1222814 1585587 1834221 2114116 2445628 3171174 3668442 4756761 5502663 6342348 7336884 9513522 11005326 15327341 19027044 22010652 30654682 45982023 61309364 91964046 137946069 183928092 275892138 444492889 551784276 888985778 1333478667 1777971556 2666957334 4000436001 5333914668 8000872002 16001744004