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19982567016 = 23323110938191
BaseRepresentation
bin10010100111000011…
…011100011001101000
31220120121201120200200
4102213003130121220
5311411014121031
613102503432200
71305121005606
oct224703343150
956517646620
1019982567016
1185247023a5
123a58155660
131b65bb2a69
14d77c68876
157be4758e6
hex4a70dc668

19982567016 has 96 divisors (see below), whose sum is σ = 55923179520. Its totient is φ = 6439305600.

The previous prime is 19982567009. The next prime is 19982567039. The reversal of 19982567016 is 61076528991.

It is a super-2 number, since 2×199825670162 (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 23 ways as a sum of consecutive naturals, for example, 2435481 + ... + 2443671.

It is an arithmetic number, because the mean of its divisors is an integer number (582533120).

Almost surely, 219982567016 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 19982567016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27961589760).

19982567016 is an abundant number, since it is smaller than the sum of its proper divisors (35940612504).

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

19982567016 is a wasteful number, since it uses less digits than its factorization.

19982567016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9327 (or 9320 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 19982567016 in words is "nineteen billion, nine hundred eighty-two million, five hundred sixty-seven thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1093 1116 2186 2232 3279 4372 6558 8191 8744 9837 13116 16382 19674 24573 26232 32764 33883 39348 49146 65528 67766 73719 78696 98292 101649 135532 147438 196584 203298 253921 271064 294876 304947 406596 507842 589752 609894 761763 813192 1015684 1219788 1523526 2031368 2285289 2439576 3047052 4570578 6094104 8952763 9141156 17905526 18282312 26858289 35811052 53716578 71622104 80574867 107433156 161149734 214866312 277535653 322299468 555071306 644598936 832606959 1110142612 1665213918 2220285224 2497820877 3330427836 4995641754 6660855672 9991283508 19982567016