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28146926000 = 2453116312101
BaseRepresentation
bin11010001101101100…
…000000000110110000
32200122121101222201202
4122031230000012300
5430121103113000
620532554150332
72014335631514
oct321554000660
980577358652
1028146926000
1110a3422a116
1255564223a8
1328674b16cb
1415102b8144
15aeb0d9dd5
hex68db001b0

28146926000 has 80 divisors (see below), whose sum is σ = 68123416608. Its totient is φ = 11248160000.

The previous prime is 28146925987. The next prime is 28146926029. The reversal of 28146926000 is 62964182.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2319950 + ... + 2332050.

Almost surely, 228146926000 is an apocalyptic number.

28146926000 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 28146926000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34061708304).

28146926000 is an abundant number, since it is smaller than the sum of its proper divisors (39976490608).

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

28146926000 is a wasteful number, since it uses less digits than its factorization.

28146926000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13287 (or 13271 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 28146926000 in words is "twenty-eight billion, one hundred forty-six million, nine hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1163 2000 2326 4652 5815 9304 11630 12101 18608 23260 24202 29075 46520 48404 58150 60505 93040 96808 116300 121010 145375 193616 232600 242020 290750 302525 465200 484040 581500 605050 968080 1163000 1210100 1512625 2326000 2420200 3025250 4840400 6050500 12101000 14073463 24202000 28146926 56293852 70367315 112587704 140734630 225175408 281469260 351836575 562938520 703673150 1125877040 1407346300 1759182875 2814692600 3518365750 5629385200 7036731500 14073463000 28146926000