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20858622752 = 251142112
BaseRepresentation
bin10011011011010001…
…010101001100100000
31222211200011211020102
4103123101111030200
5320204301412002
613325440401532
71335616240142
oct233321251440
958750154212
1020858622752
118934170000
1240616162a8
131c75544936
14101c350c92
15821322a02
hex4db455320

20858622752 has 90 divisors (see below), whose sum is σ = 45386772795. Its totient is φ = 9436257600.

The previous prime is 20858622691. The next prime is 20858622767. The reversal of 20858622752 is 25722685802.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 10429311376 + 10429311376 = 102124^2 + 102124^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=102124.

It is a super-2 number, since 2×208586227522 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20858622697 and 20858622706.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 98855927 + ... + 98856137.

Almost surely, 220858622752 is an apocalyptic number.

20858622752 is a gapful number since it is divisible by the number (22) 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 20858622752

20858622752 is an abundant number, since it is smaller than the sum of its proper divisors (24528150043).

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

20858622752 is an frugal number, since it uses more digits than its factorization.

20858622752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 47.

The spelling of 20858622752 in words is "twenty billion, eight hundred fifty-eight million, six hundred twenty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 211 242 352 422 484 844 968 1331 1688 1936 2321 2662 3376 3872 4642 5324 6752 9284 10648 14641 18568 21296 25531 29282 37136 42592 44521 51062 58564 74272 89042 102124 117128 178084 204248 234256 280841 356168 408496 468512 489731 561682 712336 816992 979462 1123364 1424672 1958924 2246728 3089251 3917848 4493456 5387041 6178502 7835696 8986912 10774082 12357004 15671392 21548164 24714008 43096328 49428016 59257451 86192656 98856032 118514902 172385312 237029804 474059608 651831961 948119216 1303663922 1896238432 2607327844 5214655688 10429311376 20858622752