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4051468506276 = 2232103232572
BaseRepresentation
bin111010111101001110010…
…101110101010010100100
3112100022112210202201110100
4322331032111311102210
51012334401414200101
612341115142424100
7565465111044222
oct72751625652244
915308483681410
104051468506276
111322244394174
12555250732030
13235089b81889
14100140ad5b12
15705c4727e86
hex3af4e5754a4

4051468506276 has 81 divisors (see below), whose sum is σ = 10344782802081. Its totient is φ = 1336967337024.

The previous prime is 4051468506187. The next prime is 4051468506277. The reversal of 4051468506276 is 6726058641504.

The square root of 4051468506276 is 2012826.

It is a perfect power (a square), and thus also a powerful number.

4051468506276 is a `hidden beast` number, since 4 + 0 + 5 + 1 + 4 + 6 + 8 + 5 + 0 + 627 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3471775092900 + 579693413376 = 1863270^2 + 761376^2 .

It is not an unprimeable number, because it can be changed into a prime (4051468506277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1243924840 + ... + 1243928096.

Almost surely, 24051468506276 is an apocalyptic number.

4051468506276 is the 2012826-th square number.

It is an amenable number.

4051468506276 is an abundant number, since it is smaller than the sum of its proper divisors (6293314295805).

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

4051468506276 is an equidigital number, since it uses as much as digits as its factorization.

4051468506276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6730 (or 3365 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 4051468506276 in words is "four trillion, fifty-one billion, four hundred sixty-eight million, five hundred six thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 103 206 309 412 618 927 1236 1854 3257 3708 6514 9771 10609 13028 19542 21218 29313 31827 39084 42436 58626 63654 95481 117252 127308 190962 335471 381924 670942 1006413 1341884 2012826 3019239 4025652 6038478 10608049 12076956 21216098 31824147 34553513 42432196 63648294 69107026 95472441 103660539 127296588 138214052 190944882 207321078 310981617 381889764 414642156 621963234 1092629047 1243926468 2185258094 3277887141 4370516188 6555774282 9833661423 13111548564 19667322846 39334645692 112540791841 225081583682 337622375523 450163167364 675244751046 1012867126569 1350489502092 2025734253138 4051468506276