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19986507216 = 24331329122719
BaseRepresentation
bin10010100111010010…
…011110010111010000
31220120220010202122000
4102213102132113100
5311413021212331
613103124114000
71305166336224
oct224722362720
956526122560
1019986507216
118526953765
123a59535900
131b66962340
14d785b2784
157be9a30e6
hex4a749e5d0

19986507216 has 160 divisors (see below), whose sum is σ = 63912576000. Its totient is φ = 5937587712.

The previous prime is 19986507197. The next prime is 19986507223. The reversal of 19986507216 is 61270568991.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 101505 + ... + 224223.

It is an arithmetic number, because the mean of its divisors is an integer number (399453600).

Almost surely, 219986507216 is an apocalyptic number.

19986507216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19986507216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31956288000).

19986507216 is an abundant number, since it is smaller than the sum of its proper divisors (43926068784).

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

19986507216 is a wasteful number, since it uses less digits than its factorization.

19986507216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122778 (or 122766 counting only the distinct ones).

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

The spelling of 19986507216 in words is "nineteen billion, nine hundred eighty-six million, five hundred seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 29 36 39 48 52 54 58 72 78 87 104 108 116 117 144 156 174 208 216 232 234 261 312 348 351 377 432 464 468 522 624 696 702 754 783 936 1044 1131 1392 1404 1508 1566 1872 2088 2262 2808 3016 3132 3393 4176 4524 5616 6032 6264 6786 9048 10179 12528 13572 18096 20358 27144 40716 54288 81432 122719 162864 245438 368157 490876 736314 981752 1104471 1472628 1595347 1963504 2208942 2945256 3190694 3313413 3558851 4417884 4786041 5890512 6381388 6626826 7117702 8835768 9572082 10676553 12762776 13253652 14235404 14358123 17671536 19144164 21353106 25525552 26507304 28470808 28716246 32029659 38288328 42706212 43074369 46265063 53014608 56941616 57432492 64059318 76576656 85412424 86148738 92530126 96088977 114864984 128118636 138795189 170824848 172297476 185060252 192177954 229729968 256237272 277590378 344594952 370120504 384355908 416385567 512474544 555180756 689189904 740241008 768711816 832771134 1110361512 1249156701 1537423632 1665542268 2220723024 2498313402 3331084536 4996626804 6662169072 9993253608 19986507216