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20306167000 = 2353714919469
BaseRepresentation
bin10010111010010101…
…111000010011011000
31221102011122011102021
4102322111320103120
5313041334321000
613154543344224
71316130400030
oct227225702330
957364564367
1020306167000
1186803358a9
123b285b2074
131bb7c54742
14da8c228c0
157dca9711a
hex4ba5784d8

20306167000 has 128 divisors (see below), whose sum is σ = 54671760000. Its totient is φ = 6915033600.

The previous prime is 20306166997. The next prime is 20306167001. The reversal of 20306167000 is 76160302.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20306167001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1033266 + ... + 1052734.

It is an arithmetic number, because the mean of its divisors is an integer number (427123125).

Almost surely, 220306167000 is an apocalyptic number.

20306167000 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 20306167000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27335880000).

20306167000 is an abundant number, since it is smaller than the sum of its proper divisors (34365593000).

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

20306167000 is a wasteful number, since it uses less digits than its factorization.

20306167000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19646 (or 19632 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The spelling of 20306167000 in words is "twenty billion, three hundred six million, one hundred sixty-seven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 149 175 200 250 280 298 350 500 596 700 745 875 1000 1043 1192 1400 1490 1750 2086 2980 3500 3725 4172 5215 5960 7000 7450 8344 10430 14900 18625 19469 20860 26075 29800 37250 38938 41720 52150 74500 77876 97345 104300 130375 136283 149000 155752 194690 208600 260750 272566 389380 486725 521500 545132 681415 778760 973450 1043000 1090264 1362830 1946900 2433625 2725660 2900881 3407075 3893800 4867250 5451320 5801762 6814150 9734500 11603524 13628300 14504405 17035375 19469000 20306167 23207048 27256600 29008810 34070750 40612334 58017620 68141500 72522025 81224668 101530835 116035240 136283000 145044050 162449336 203061670 290088100 362610125 406123340 507654175 580176200 725220250 812246680 1015308350 1450440500 2030616700 2538270875 2900881000 4061233400 5076541750 10153083500 20306167000