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20868348032 = 277297191117
BaseRepresentation
bin10011011011110110…
…011011100010000000
31222212100110220210222
4103123312123202000
5320214244114112
613330425042212
71336065013550
oct233366334200
958770426728
1020868348032
118939702824
124064926368
131c7756b43c
14101d763160
158220e4372
hex4dbd9b880

20868348032 has 128 divisors (see below), whose sum is σ = 49263552000. Its totient is φ = 8615448576.

The previous prime is 20868348029. The next prime is 20868348041. The reversal of 20868348032 is 23084386802.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18681938 + ... + 18683054.

It is an arithmetic number, because the mean of its divisors is an integer number (384871500).

Almost surely, 220868348032 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 20868348032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24631776000).

20868348032 is an abundant number, since it is smaller than the sum of its proper divisors (28395203968).

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

20868348032 is a wasteful number, since it uses less digits than its factorization.

20868348032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 44.

The spelling of 20868348032 in words is "twenty billion, eight hundred sixty-eight million, three hundred forty-eight thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 406 448 464 719 812 896 928 1117 1438 1624 1856 2234 2876 3248 3712 4468 5033 5752 6496 7819 8936 10066 11504 12992 15638 17872 20132 20851 23008 25984 31276 32393 35744 40264 41702 46016 62552 64786 71488 80528 83404 92032 125104 129572 142976 145957 161056 166808 226751 250208 259144 291914 322112 333616 453502 500416 518288 583828 644224 667232 803123 907004 1000832 1036576 1167656 1334464 1606246 1814008 2073152 2335312 2668928 3212492 3628016 4146304 4670624 5621861 6424984 7256032 9341248 11243722 12849968 14512064 18682496 22487444 23290567 25699936 29024128 44974888 46581134 51399872 89949776 93162268 102799744 163033969 179899552 186324536 326067938 359799104 372649072 652135876 719598208 745298144 1304271752 1490596288 2608543504 2981192576 5217087008 10434174016 20868348032