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20678383300 = 22522942116937
BaseRepresentation
bin10011010000100001…
…110001011011000100
31222101010000201012011
4103100201301123010
5314322131231200
613255521304004
71331300233531
oct232041613304
958333021164
1020678383300
118851454483
124011195004
131c470b8a83
141002433d88
158105bd5ba
hex4d08716c4

20678383300 has 72 divisors (see below), whose sum is σ = 46532412360. Its totient is φ = 7966694400.

The previous prime is 20678383277. The next prime is 20678383321. The reversal of 20678383300 is 338387602.

It can be written as a sum of positive squares in 12 ways, for example, as 13846699584 + 6831683716 = 117672^2 + 82654^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1212432 + ... + 1229368.

It is an arithmetic number, because the mean of its divisors is an integer number (646283505).

Almost surely, 220678383300 is an apocalyptic number.

20678383300 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 20678383300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23266206180).

20678383300 is an abundant number, since it is smaller than the sum of its proper divisors (25854029060).

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

20678383300 is a wasteful number, since it uses less digits than its factorization.

20678383300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17401 (or 17394 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 20678383300 in words is "twenty billion, six hundred seventy-eight million, three hundred eighty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 421 580 725 842 1450 1684 2105 2900 4210 8420 10525 12209 16937 21050 24418 33874 42100 48836 61045 67748 84685 122090 169370 244180 305225 338740 423425 491173 610450 846850 982346 1220900 1693700 1964692 2455865 4911730 7130477 9823460 12279325 14260954 24558650 28521908 35652385 49117300 71304770 142609540 178261925 206783833 356523850 413567666 713047700 827135332 1033919165 2067838330 4135676660 5169595825 10339191650 20678383300