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20990641911456 = 253736785111919
BaseRepresentation
bin1001100010111010000111…
…10000010011011010100000
32202022200111220222202222210
410301131003300103122200
510222402313312131311
6112350545012202120
74264344450233640
oct461350360233240
982280456882883
1020990641911456
116763099152558
122430163609340
13b93541873579
14527d498b8520
15266034c8a3a6
hex131743c136a0

20990641911456 has 96 divisors (see below), whose sum is σ = 63143512104960. Its totient is φ = 5980984701696.

The previous prime is 20990641911439. The next prime is 20990641911457. The reversal of 20990641911456 is 65411914609902.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 20990641911396 and 20990641911405.

It is not an unprimeable number, because it can be changed into a prime (20990641911457) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 42309336 + ... + 42802583.

It is an arithmetic number, because the mean of its divisors is an integer number (657744917760).

Almost surely, 220990641911456 is an apocalyptic number.

It is an amenable number.

20990641911456 is an abundant number, since it is smaller than the sum of its proper divisors (42152870193504).

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

20990641911456 is a wasteful number, since it uses less digits than its factorization.

20990641911456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85112306 (or 85112298 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 57.

The spelling of 20990641911456 in words is "twenty trillion, nine hundred ninety billion, six hundred forty-one million, nine hundred eleven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 367 672 734 1101 1468 2202 2569 2936 4404 5138 5872 7707 8808 10276 11744 15414 17616 20552 30828 35232 41104 61656 82208 123312 246624 85111919 170223838 255335757 340447676 510671514 595783433 680895352 1021343028 1191566866 1361790704 1787350299 2042686056 2383133732 2723581408 3574700598 4085372112 4766267464 7149401196 8170744224 9532534928 14298802392 19065069856 28597604784 31236074273 57195209568 62472148546 93708222819 124944297092 187416445638 218652519911 249888594184 374832891276 437305039822 499777188368 655957559733 749665782552 874610079644 999554376736 1311915119466 1499331565104 1749220159288 2623830238932 2998663130208 3498440318576 5247660477864 6996880637152 10495320955728 20990641911456