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20244736656 = 24327121672
BaseRepresentation
bin10010110110101011…
…100010101010010000
31221020220001011211100
4102312223202222100
5312430123033111
613144510544400
71314453264564
oct226653425220
957226034740
1020244736656
118649698321
123b0bb08100
131ba82c6721
14da09d16a4
157d74b0756
hex4b6ae2a90

20244736656 has 135 divisors (see below), whose sum is σ = 57812542723. Its totient is φ = 6613360320.

The previous prime is 20244736601. The next prime is 20244736657. The reversal of 20244736656 is 65663744202.

The square root of 20244736656 is 142284.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20244736657) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 121225885 + ... + 121226051.

Almost surely, 220244736656 is an apocalyptic number.

20244736656 is the 142284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20244736656

20244736656 is an abundant number, since it is smaller than the sum of its proper divisors (37567806067).

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

20244736656 is an equidigital number, since it uses as much as digits as its factorization.

20244736656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

It can be divided in two parts, 20244 and 736656, that added together give a square (756900 = 8702).

The spelling of 20244736656 in words is "twenty billion, two hundred forty-four million, seven hundred thirty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 167 213 284 334 426 501 568 639 668 852 1002 1136 1278 1336 1503 1704 2004 2556 2672 3006 3408 4008 5041 5112 6012 8016 10082 10224 11857 12024 15123 20164 23714 24048 27889 30246 35571 40328 45369 47428 55778 60492 71142 80656 83667 90738 94856 106713 111556 120984 142284 167334 181476 189712 213426 223112 241968 251001 284568 334668 362952 426852 446224 502002 569136 669336 725904 841847 853704 1004004 1338672 1683694 1707408 1980119 2008008 2525541 3367388 3960238 4016016 5051082 5940357 6734776 7576623 7920476 10102164 11880714 13469552 15153246 15840952 17821071 20204328 23761428 30306492 31681904 35642142 40408656 47522856 60612984 71284284 95045712 121225968 140588449 142568568 281176898 285137136 421765347 562353796 843530694 1124707592 1265296041 1687061388 2249415184 2530592082 3374122776 5061184164 6748245552 10122368328 20244736656