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20169670128 = 24317431135087
BaseRepresentation
bin10010110010001101…
…001011110111110000
31221001122210101220120
4102302031023313300
5312301413421003
613133230010240
71312552236666
oct226215136760
957048711816
1020169670128
118610286773
123aaa946980
131b958a2a6a
14d94a50c36
157d0ad3853
hex4b234bdf0

20169670128 has 160 divisors (see below), whose sum is σ = 56963782656. Its totient is φ = 6124683264.

The previous prime is 20169670127. The next prime is 20169670141. The reversal of 20169670128 is 82107696102.

It is a self number, because there is not a number n which added to its sum of digits gives 20169670128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20169670121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3962401 + ... + 3967487.

Almost surely, 220169670128 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 20169670128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28481891328).

20169670128 is an abundant number, since it is smaller than the sum of its proper divisors (36794112528).

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

20169670128 is a wasteful number, since it uses less digits than its factorization.

20169670128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5271 (or 5265 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 20169670128 in words is "twenty billion, one hundred sixty-nine million, six hundred seventy thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 43 48 51 68 86 102 113 129 136 172 204 226 258 272 339 344 408 452 516 678 688 731 816 904 1032 1356 1462 1808 1921 2064 2193 2712 2924 3842 4386 4859 5087 5424 5763 5848 7684 8772 9718 10174 11526 11696 14577 15261 15368 17544 19436 20348 23052 29154 30522 30736 35088 38872 40696 46104 58308 61044 77744 81392 82603 86479 92208 116616 122088 165206 172958 218741 233232 244176 247809 259437 330412 345916 437482 495618 518874 574831 656223 660824 691832 874964 991236 1037748 1149662 1312446 1321648 1383664 1724493 1749928 1982472 2075496 2299324 2624892 3448986 3499856 3718597 3964944 4150992 4598648 5249784 6897972 7437194 9197296 9772127 10499568 11155791 13795944 14874388 19544254 22311582 24717733 27591888 29316381 29748776 39088508 44623164 49435466 58632762 59497552 74153199 78177016 89246328 98870932 117265524 148306398 156354032 178492656 197741864 234531048 296612796 395483728 420201461 469062096 593225592 840402922 1186451184 1260604383 1680805844 2521208766 3361611688 5042417532 6723223376 10084835064 20169670128