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20491778512 = 241721092373
BaseRepresentation
bin10011000101011001…
…111011100111010000
31221220002220012112201
4103011121323213100
5313431343403022
613225213532544
71323543146332
oct230531734720
957802805481
1020491778512
118766090547
123b7a7a4154
131c1754183a
14dc573b452
157ee00d127
hex4c567b9d0

20491778512 has 90 divisors (see below), whose sum is σ = 42680261778. Its totient is φ = 9529104384.

The previous prime is 20491778491. The next prime is 20491778519. The reversal of 20491778512 is 21587719402.

It can be written as a sum of positive squares in 9 ways, for example, as 328914496 + 20162864016 = 18136^2 + 141996^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20491778519) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 54937558 + ... + 54937930.

Almost surely, 220491778512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20491778512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21340130889).

20491778512 is an abundant number, since it is smaller than the sum of its proper divisors (22188483266).

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

20491778512 is a wasteful number, since it uses less digits than its factorization.

20491778512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 46.

The spelling of 20491778512 in words is "twenty billion, four hundred ninety-one million, seven hundred seventy-eight thousand, five hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 109 136 218 272 289 373 436 578 746 872 1156 1492 1744 1853 2312 2984 3706 4624 5968 6341 7412 11881 12682 14824 23762 25364 29648 31501 40657 47524 50728 63002 81314 95048 101456 107797 126004 162628 190096 201977 215594 252008 325256 403954 431188 504016 650512 691169 807908 862376 1382338 1615816 1724752 2764676 3231632 3433609 4431613 5529352 6867218 8863226 11058704 11749873 13734436 17726452 23499746 27468872 35452904 46999492 54937744 70905808 75337421 93998984 150674842 187997968 301349684 602699368 1205398736 1280736157 2561472314 5122944628 10245889256 20491778512