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20272206780 = 223257113142381
BaseRepresentation
bin10010111000010100…
…010101001110111100
31221022210201210202100
4102320110111032330
5313004141104110
613151331425100
71315235625450
oct227024251674
957283653670
1020272206780
118663150001
123b19155190
131bb0bc4037
14da4502660
157d9ad9bc0
hex4b85153bc

20272206780 has 144 divisors (see below), whose sum is σ = 70899401664. Its totient is φ = 4592609280.

The previous prime is 20272206749. The next prime is 20272206781. The reversal of 20272206780 is 8760227202.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20272206781) 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 47 ways as a sum of consecutive naturals, for example, 71190 + ... + 213570.

It is an arithmetic number, because the mean of its divisors is an integer number (492356956).

Almost surely, 220272206780 is an apocalyptic number.

20272206780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 142380×142381.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20272206780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35449700832).

20272206780 is an abundant number, since it is smaller than the sum of its proper divisors (50627194884).

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

20272206780 is a wasteful number, since it uses less digits than its factorization.

20272206780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142516 (or 142511 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 20272206780 in words is "twenty billion, two hundred seventy-two million, two hundred six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 113 126 140 180 210 226 252 315 339 420 452 565 630 678 791 1017 1130 1260 1356 1582 1695 2034 2260 2373 3164 3390 3955 4068 4746 5085 6780 7119 7910 9492 10170 11865 14238 15820 20340 23730 28476 35595 47460 71190 142380 142381 284762 427143 569524 711905 854286 996667 1281429 1423810 1708572 1993334 2135715 2562858 2847620 2990001 3986668 4271430 4983335 5125716 5980002 6407145 8542860 8970003 9966670 11960004 12814290 14950005 16089053 17940006 19933340 25628580 29900010 32178106 35880012 44850015 48267159 59800020 64356212 80445265 89700030 96534318 112623371 144801477 160890530 179400060 193068636 225246742 241335795 289602954 321781060 337870113 450493484 482671590 563116855 579205908 675740226 724007385 965343180 1013610339 1126233710 1351480452 1448014770 1689350565 2027220678 2252467420 2896029540 3378701130 4054441356 5068051695 6757402260 10136103390 20272206780