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16697071080 = 233458216277
BaseRepresentation
bin11111000110011100…
…10001010111101000
31121002122111002120000
433203032101113220
5233143422233310
611400500103000
71130524522344
oct174316212750
947078432500
1016697071080
1170990746a8
12329b994a60
13176130b421
14b45786624
1567acda4c0
hex3e33915e8

16697071080 has 160 divisors (see below), whose sum is σ = 56198019240. Its totient is φ = 4446420480.

The previous prime is 16697071031. The next prime is 16697071087. The reversal of 16697071080 is 8017079661.

It can be written as a sum of positive squares in 4 ways, for example, as 15555577284 + 1141493796 = 124722^2 + 33786^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (16697071087) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2656902 + ... + 2663178.

Almost surely, 216697071080 is an apocalyptic number.

16697071080 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 16697071080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28099009620).

16697071080 is an abundant number, since it is smaller than the sum of its proper divisors (39500948160).

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

16697071080 is a wasteful number, since it uses less digits than its factorization.

16697071080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7121 (or 7108 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 16697071080 in words is "sixteen billion, six hundred ninety-seven million, seventy-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 821 1080 1620 1642 2463 3240 3284 4105 4926 6277 6568 7389 8210 9852 12315 12554 14778 16420 18831 19704 22167 24630 25108 29556 31385 32840 36945 37662 44334 49260 50216 56493 59112 62770 66501 73890 75324 88668 94155 98520 110835 112986 125540 133002 147780 150648 169479 177336 188310 221670 225972 251080 266004 282465 295560 332505 338958 376620 443340 451944 508437 532008 564930 665010 677916 753240 847395 886680 1016874 1129860 1330020 1355832 1694790 2033748 2259720 2542185 2660040 3389580 4067496 5084370 5153417 6779160 10168740 10306834 15460251 20337480 20613668 25767085 30920502 41227336 46380753 51534170 61841004 77301255 92761506 103068340 123682008 139142259 154602510 185523012 206136680 231903765 278284518 309205020 371046024 417426777 463807530 556569036 618410040 695711295 834853554 927615060 1113138072 1391422590 1669707108 1855230120 2087133885 2782845180 3339414216 4174267770 5565690360 8348535540 16697071080