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2146612023684 = 2232616131594633
BaseRepresentation
bin11111001111001100000…
…011000001000110000100
321121012210002020100001100
4133033030003001012010
5240132230134224214
64322050121300100
7311042022100242
oct37171403010604
97535702210040
102146612023684
11758411586207
122a8040034630
13127569c3a6cb
1475c7a2c3792
153ac8942c309
hex1f3cc0c1184

2146612023684 has 72 divisors (see below), whose sum is σ = 5524111967192. Its totient is φ = 702658644480.

The previous prime is 2146612023683. The next prime is 2146612023739. The reversal of 2146612023684 is 4863202166412.

2146612023684 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 612 + 0 + 23 + 6 + 8 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 165071564100 + 1981540459584 = 406290^2 + 1407672^2 .

It is not an unprimeable number, because it can be changed into a prime (2146612023683) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 548832 + ... + 2143464.

Almost surely, 22146612023684 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 2146612023684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762055983596).

2146612023684 is an abundant number, since it is smaller than the sum of its proper divisors (3377499943508).

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

2146612023684 is a wasteful number, since it uses less digits than its factorization.

2146612023684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595317 (or 1595312 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 2146612023684 in words is "two trillion, one hundred forty-six billion, six hundred twelve million, twenty-three thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 613 732 1098 1226 1839 2196 2452 3678 5517 7356 11034 22068 37393 74786 112179 149572 224358 336537 448716 673074 1346148 1594633 3189266 4783899 6378532 9567798 14351697 19135596 28703394 57406788 97272613 194545226 291817839 389090452 583635678 875453517 977510029 1167271356 1750907034 1955020058 2932530087 3501814068 3910040116 5865060174 8797590261 11730120348 17595180522 35190361044 59628111769 119256223538 178884335307 238512447076 357768670614 536653005921 715537341228 1073306011842 2146612023684