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21906682988463 = 32713214251144379
BaseRepresentation
bin1001111101100100011000…
…00011101100011110101111
32212120020222101220000002100
410332302030003230132233
510332404341321112323
6114331442523430143
74420464012016560
oct476621403543657
985506871800070
1021906682988463
116a86632493989
1225597b3985353
13c2ba39768700
1455a409486167
1527ec9a6c3943
hex13ec8c0ec7af

21906682988463 has 72 divisors (see below), whose sum is σ = 39162217960320. Its totient is φ = 11554282584000.

The previous prime is 21906682988461. The next prime is 21906682988483. The reversal of 21906682988463 is 36488928660912.

It is a happy number.

21906682988463 is a `hidden beast` number, since 2 + 1 + 9 + 0 + 6 + 6 + 82 + 9 + 88 + 463 = 666.

It is not a de Polignac number, because 21906682988463 - 21 = 21906682988461 is a prime.

It is a super-2 number, since 2×219066829884632 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21906682988391 and 21906682988400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21906682988461) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 151658208 + ... + 151802586.

Almost surely, 221906682988463 is an apocalyptic number.

21906682988463 is a deficient number, since it is larger than the sum of its proper divisors (17255534971857).

21906682988463 is a wasteful number, since it uses less digits than its factorization.

21906682988463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158669 (or 158653 counting only the distinct ones).

The product of its (nonzero) digits is 429981696, while the sum is 72.

The spelling of 21906682988463 in words is "twenty-one trillion, nine hundred six billion, six hundred eighty-two million, nine hundred eighty-eight thousand, four hundred sixty-three".

Divisors: 1 3 7 9 13 21 39 63 91 117 169 273 507 819 1183 1521 3549 10647 14251 42753 99757 128259 144379 185263 299271 433137 555789 897813 1010653 1296841 1299411 1667367 1876927 2408419 3031959 3890523 5630781 7225257 9095877 11671569 13138489 16858933 16892343 21675771 24400051 39415467 50576799 73200153 118246401 151730397 170800357 219600459 512401071 1537203213 2057545129 6172635387 14402815903 18517906161 26748086677 43208447709 80244260031 129625343127 187236606739 240732780093 347725126801 561709820217 1043175380403 1685129460651 2434075887607 3129526141209 7302227662821 21906682988463