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16712001020 = 225111322319543
BaseRepresentation
bin11111001000001110…
…01110010111111100
31121010200120121120202
433210013032113330
5233211233013040
611402152103032
71131065444021
oct174407162774
947120517522
1016712001020
1170a65417a0
1232a4994a78
131764437c00
14b47751548
1567c289015
hex3e41ce5fc

16712001020 has 144 divisors (see below), whose sum is σ = 43261972992. Its totient is φ = 5365451520.

The previous prime is 16712000989. The next prime is 16712001067. The reversal of 16712001020 is 2010021761.

It is a super-3 number, since 3×167120010203 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 16712000983 and 16712001001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 845369 + ... + 864911.

It is an arithmetic number, because the mean of its divisors is an integer number (300430368).

Almost surely, 216712001020 is an apocalyptic number.

16712001020 is a gapful number since it is divisible by the number (10) 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 16712001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21630986496).

16712001020 is an abundant number, since it is smaller than the sum of its proper divisors (26549971972).

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

16712001020 is a wasteful number, since it uses less digits than its factorization.

16712001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19612 (or 19597 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

Adding to 16712001020 its reverse (2010021761), we get a palindrome (18722022781).

The spelling of 16712001020 in words is "sixteen billion, seven hundred twelve million, one thousand, twenty".

Divisors: 1 2 4 5 10 11 13 20 22 23 26 44 46 52 55 65 92 110 115 130 143 169 220 230 253 260 286 299 338 460 506 572 598 676 715 845 1012 1196 1265 1430 1495 1690 1859 2530 2860 2990 3289 3380 3718 3887 5060 5980 6578 7436 7774 9295 13156 15548 16445 18590 19435 19543 32890 37180 38870 39086 42757 65780 77740 78172 85514 97715 171028 195430 213785 214973 254059 390860 427570 429946 449489 508118 855140 859892 898978 1016236 1074865 1270295 1797956 2149730 2247445 2540590 2794649 3302767 4299460 4494890 4944379 5081180 5589298 5843357 6605534 8989780 9888758 11178596 11686714 13211068 13973245 16513835 19777516 23373428 24721895 27946490 29216785 33027670 36330437 49443790 55892980 58433570 64276927 66055340 72660874 75963641 98887580 116867140 128553854 145321748 151927282 181652185 257107708 303854564 321384635 363304370 379818205 642769270 726608740 759636410 835600051 1285538540 1519272820 1671200102 3342400204 4178000255 8356000510 16712001020