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20749664208 = 2437139748973
BaseRepresentation
bin10011010100110001…
…101011111111010000
31222120002011011012210
4103110301223333100
5314443403223313
613310545152120
71333124143560
oct232461537720
958502134183
1020749664208
11888870a919
12403102b640
131c58ab5620
14100baaada0
1581699d9c3
hex4d4c6bfd0

20749664208 has 160 divisors (see below), whose sum is σ = 66654789376. Its totient is φ = 5415911424.

The previous prime is 20749664207. The next prime is 20749664219. The reversal of 20749664208 is 80246694702.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20749664207) 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 31 ways as a sum of consecutive naturals, for example, 399210 + ... + 448182.

Almost surely, 220749664208 is an apocalyptic number.

20749664208 is a gapful number since it is divisible by the number (28) 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 20749664208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33327394688).

20749664208 is an abundant number, since it is smaller than the sum of its proper divisors (45905125168).

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

20749664208 is a wasteful number, since it uses less digits than its factorization.

20749664208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49101 (or 49095 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 20749664208 in words is "twenty billion, seven hundred forty-nine million, six hundred sixty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 97 104 112 156 168 182 194 208 273 291 312 336 364 388 546 582 624 679 728 776 1092 1164 1261 1358 1456 1552 2037 2184 2328 2522 2716 3783 4074 4368 4656 5044 5432 7566 8148 8827 10088 10864 15132 16296 17654 20176 26481 30264 32592 35308 48973 52962 60528 70616 97946 105924 141232 146919 195892 211848 293838 342811 391784 423696 587676 636649 685622 783568 1028433 1175352 1273298 1371244 1909947 2056866 2350704 2546596 2742488 3819894 4113732 4456543 4750381 5093192 5484976 7639788 8227464 8913086 9500762 10186384 13369629 14251143 15279576 16454928 17826172 19001524 26739258 28502286 30559152 33252667 35652344 38003048 53478516 57004572 61754953 66505334 71304688 76006096 99758001 106957032 114009144 123509906 133010668 185264859 199516002 213914064 228018288 247019812 266021336 370529718 399032004 432284671 494039624 532042672 741059436 798064008 864569342 988079248 1296854013 1482118872 1596128016 1729138684 2593708026 2964237744 3458277368 5187416052 6916554736 10374832104 20749664208