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26900898100 = 22523715746309
BaseRepresentation
bin11001000011011010…
…110010000100110100
32120102202210012210021
4121003122302010310
5420043112214400
620205203334524
71641425601226
oct310332620464
976382705707
1026900898100
111045494599a
125269081444
1326c92c2aab
141432a06416
15a76a0b71a
hex6436b2134

26900898100 has 72 divisors (see below), whose sum is σ = 60335817080. Its totient is φ = 10402629120.

The previous prime is 26900898071. The next prime is 26900898217. The reversal of 26900898100 is 189800962.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1534602276 + 25366295824 = 39174^2 + 159268^2 .

It is a super-2 number, since 2×269008981002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 557746 + ... + 604054.

Almost surely, 226900898100 is an apocalyptic number.

26900898100 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 26900898100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30167908540).

26900898100 is an abundant number, since it is smaller than the sum of its proper divisors (33434918980).

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

26900898100 is a wasteful number, since it uses less digits than its factorization.

26900898100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46517 (or 46510 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The spelling of 26900898100 in words is "twenty-six billion, nine hundred million, eight hundred ninety-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 157 185 314 370 628 740 785 925 1570 1850 3140 3700 3925 5809 7850 11618 15700 23236 29045 46309 58090 92618 116180 145225 185236 231545 290450 463090 580900 926180 1157725 1713433 2315450 3426866 4630900 6853732 7270513 8567165 14541026 17134330 29082052 34268660 36352565 42835825 72705130 85671650 145410260 171343300 181762825 269008981 363525650 538017962 727051300 1076035924 1345044905 2690089810 5380179620 6725224525 13450449050 26900898100