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20261414300 = 22521722772531
BaseRepresentation
bin10010110111101011…
…001010010110011100
31221022001102111020212
4102313223022112130
5312443410224200
613150304231552
71315045115501
oct226753122634
957261374225
1020261414300
1186580494a6
123b1560b5b8
131bab8b585a
14da2cd34a8
157d8ba7035
hex4b7aca59c

20261414300 has 108 divisors (see below), whose sum is σ = 46892847624. Its totient is φ = 7597286400.

The previous prime is 20261414297. The next prime is 20261414339. The reversal of 20261414300 is 341416202.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 8004035 + ... + 8006565.

Almost surely, 220261414300 is an apocalyptic number.

20261414300 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 20261414300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23446423812).

20261414300 is an abundant number, since it is smaller than the sum of its proper divisors (26631433324).

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

20261414300 is a wasteful number, since it uses less digits than its factorization.

20261414300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The spelling of 20261414300 in words is "twenty billion, two hundred sixty-one million, four hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 277 289 340 425 554 578 850 1108 1156 1385 1445 1700 2531 2770 2890 4709 5062 5540 5780 6925 7225 9418 10124 12655 13850 14450 18836 23545 25310 27700 28900 43027 47090 50620 63275 80053 86054 94180 117725 126550 160106 172108 215135 235450 253100 320212 400265 430270 470900 701087 731459 800530 860540 1075675 1402174 1462918 1601060 2001325 2151350 2804348 2925836 3505435 3657295 4002650 4302700 7010870 7314590 8005300 11918479 14021740 14629180 17527175 18286475 23836958 35054350 36572950 47673916 59592395 70108700 73145900 119184790 202614143 238369580 297961975 405228286 595923950 810456572 1013070715 1191847900 2026141430 4052282860 5065353575 10130707150 20261414300