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20431207160 = 23571317593191
BaseRepresentation
bin10011000001110010…
…110111101011111000
31221201212220212021022
4103001302313223320
5313320342112120
613215211402012
71322206252430
oct230162675370
957655825238
1020431207160
11873497a381
123b62453308
131c07b247c0
14dbb6912c0
157e8a46025
hex4c1cb7af8

20431207160 has 128 divisors (see below), whose sum is σ = 56628633600. Its totient is φ = 6460439040.

The previous prime is 20431207141. The next prime is 20431207213. The reversal of 20431207160 is 6170213402.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6401165 + ... + 6404355.

It is an arithmetic number, because the mean of its divisors is an integer number (442411200).

Almost surely, 220431207160 is an apocalyptic number.

20431207160 is a gapful number since it is divisible by the number (20) 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 20431207160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28314316800).

20431207160 is an abundant number, since it is smaller than the sum of its proper divisors (36197426440).

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

20431207160 is a wasteful number, since it uses less digits than its factorization.

20431207160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4981 (or 4977 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The spelling of 20431207160 in words is "twenty billion, four hundred thirty-one million, two hundred seven thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1759 1820 3191 3518 3640 6382 7036 8795 12313 12764 14072 15955 17590 22337 22867 24626 25528 31910 35180 41483 44674 45734 49252 61565 63820 70360 82966 89348 91468 98504 111685 114335 123130 127640 160069 165932 178696 182936 207415 223370 228670 246260 290381 320138 331864 414830 446740 457340 492520 580762 640276 800345 829660 893480 914680 1161524 1280552 1451905 1600690 1659320 2323048 2903810 3201380 5612969 5807620 6402760 11225938 11615240 22451876 28064845 39290783 44903752 56129690 72968597 78581566 112259380 145937194 157163132 196453915 224518760 291874388 314326264 364842985 392907830 510780179 583748776 729685970 785815660 1021560358 1459371940 1571631320 2043120716 2553900895 2918743880 4086241432 5107801790 10215603580 20431207160