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20146679720 = 2354715170969
BaseRepresentation
bin10010110000110101…
…011110111110101000
31221000001112100222222
4102300311132332220
5312230022222340
613131045133212
71312152644366
oct226065367650
957001470888
1020146679720
1185a9303732
123aa30ba208
131b90bb347b
14d91988636
157cda918b5
hex4b0d5efa8

20146679720 has 64 divisors (see below), whose sum is σ = 46601740800. Its totient is φ = 7834867200.

The previous prime is 20146679699. The next prime is 20146679741. The reversal of 20146679720 is 2797664102.

It is a Cunningham number, because it is equal to 1419392-1.

It is an interprime number because it is at equal distance from previous prime (20146679699) and next prime (20146679741).

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 15 ways as a sum of consecutive naturals, for example, 248396 + ... + 319364.

It is an arithmetic number, because the mean of its divisors is an integer number (728152200).

Almost surely, 220146679720 is an apocalyptic number.

20146679720 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 20146679720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23300870400).

20146679720 is an abundant number, since it is smaller than the sum of its proper divisors (26455061080).

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

20146679720 is a wasteful number, since it uses less digits than its factorization.

20146679720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71178 (or 71174 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The spelling of 20146679720 in words is "twenty billion, one hundred forty-six million, six hundred seventy-nine thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 151 188 235 302 376 470 604 755 940 1208 1510 1880 3020 6040 7097 14194 28388 35485 56776 70969 70970 141938 141940 283876 283880 354845 567752 709690 1419380 2838760 3335543 6671086 10716319 13342172 16677715 21432638 26684344 33355430 42865276 53581595 66710860 85730552 107163190 133421720 214326380 428652760 503666993 1007333986 2014667972 2518334965 4029335944 5036669930 10073339860 20146679720