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20545774416 = 24362417309
BaseRepresentation
bin10011001000100111…
…111010001101010000
31222000212111111000000
4103020213322031100
5314034204240131
613234423130000
71325100125646
oct231047721520
958025444000
1020545774416
118793610462
123b948a3900
131c2579898b
14dcc995196
15803b26ce6
hex4c89fa350

20545774416 has 140 divisors (see below), whose sum is σ = 59939704660. Its totient is φ = 6819240960.

The previous prime is 20545774369. The next prime is 20545774423. The reversal of 20545774416 is 61447754502.

20545774416 is a `hidden beast` number, since 20 + 5 + 4 + 577 + 44 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12374337600 + 8171436816 = 111240^2 + 90396^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2807370 + ... + 2814678.

Almost surely, 220545774416 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 20545774416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29969852330).

20545774416 is an abundant number, since it is smaller than the sum of its proper divisors (39393930244).

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

20545774416 is an equidigital number, since it uses as much as digits as its factorization.

20545774416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7576 (or 7555 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 20545774416 in words is "twenty billion, five hundred forty-five million, seven hundred seventy-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 241 243 324 432 482 486 648 723 729 964 972 1296 1446 1458 1928 1944 2169 2892 2916 3856 3888 4338 5784 5832 6507 7309 8676 11568 11664 13014 14618 17352 19521 21927 26028 29236 34704 39042 43854 52056 58472 58563 65781 78084 87708 104112 116944 117126 131562 156168 175416 175689 197343 234252 263124 312336 350832 351378 394686 468504 526248 592029 702756 789372 937008 1052496 1184058 1405512 1578744 1761469 1776087 2368116 2811024 3157488 3522938 3552174 4736232 5284407 5328261 7045876 7104348 9472464 10568814 10656522 14091752 14208696 15853221 21137628 21313044 28183504 28417392 31706442 42275256 42626088 47559663 63412884 84550512 85252176 95119326 126825768 142678989 190238652 253651536 285357978 380477304 428036967 570715956 760954608 856073934 1141431912 1284110901 1712147868 2282863824 2568221802 3424295736 5136443604 6848591472 10272887208 20545774416