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20843103744 = 293241110323
BaseRepresentation
bin10011011010010110…
…001000011000000000
31222210120222101011100
4103122112020120000
5320141313304434
613324124014400
71335340313211
oct233226103000
958716871140
1020843103744
118926430381
124058391400
131c7226cca8
14101a271408
1581eca9699
hex4da588600

20843103744 has 120 divisors (see below), whose sum is σ = 61622352792. Its totient is φ = 6778183680.

The previous prime is 20843103731. The next prime is 20843103751. The reversal of 20843103744 is 44730134802.

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

It is a junction number, because it is equal to n+sod(n) for n = 20843103699 and 20843103708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133767 + ... + 244089.

Almost surely, 220843103744 is an apocalyptic number.

20843103744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20843103744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30811176396).

20843103744 is an abundant number, since it is smaller than the sum of its proper divisors (40779249048).

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

20843103744 is a wasteful number, since it uses less digits than its factorization.

20843103744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110388 (or 110369 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 20843103744 in words is "twenty billion, eight hundred forty-three million, one hundred three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 256 288 328 369 384 492 512 576 656 738 768 984 1152 1312 1476 1536 1968 2304 2624 2952 3936 4608 5248 5904 7872 10496 11808 15744 20992 23616 31488 47232 62976 94464 110323 188928 220646 330969 441292 661938 882584 992907 1323876 1765168 1985814 2647752 3530336 3971628 4523243 5295504 7060672 7943256 9046486 10591008 13569729 14121344 15886512 18092972 21182016 27139458 28242688 31773024 36185944 40709187 42364032 54278916 56485376 63546048 72371888 81418374 84728064 108557832 127092096 144743776 162836748 169456128 217115664 254184192 289487552 325673496 434231328 508368384 578975104 651346992 868462656 1157950208 1302693984 1736925312 2315900416 2605387968 3473850624 5210775936 6947701248 10421551872 20843103744