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468617379021 = 341121731911447
BaseRepresentation
bin1101101000110111100…
…01011011110011001101
31122210120202021101110000
412310123301123303031
530134212022112041
6555140240434513
745566526666501
oct6643361336315
91583522241400
10468617379021
11170815325900
12769a3018a39
13352624b066c
141897730c301
15c2ca948bb6
hex6d1bc5bccd

468617379021 has 120 divisors (see below), whose sum is σ = 778495398912. Its totient is φ = 280696363200.

The previous prime is 468617379017. The next prime is 468617379047. The reversal of 468617379021 is 120973716864.

468617379021 is a `hidden beast` number, since 468 + 6 + 1 + 73 + 7 + 90 + 21 = 666.

It is not a de Polignac number, because 468617379021 - 22 = 468617379017 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468617379221) 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 119 ways as a sum of consecutive naturals, for example, 323853720 + ... + 323855166.

Almost surely, 2468617379021 is an apocalyptic number.

It is an amenable number.

468617379021 is a deficient number, since it is larger than the sum of its proper divisors (309878019891).

468617379021 is a wasteful number, since it uses less digits than its factorization.

468617379021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 468617379021 in words is "four hundred sixty-eight billion, six hundred seventeen million, three hundred seventy-nine thousand, twenty-one".

Divisors: 1 3 9 11 27 33 81 99 121 173 191 297 363 519 573 891 1089 1447 1557 1719 1903 2101 3267 4341 4671 5157 5709 6303 9801 13023 14013 15471 15917 17127 18909 20933 23111 33043 39069 47751 51381 56727 62799 69333 99129 117207 143253 154143 170181 175087 188397 207999 250331 276377 297387 363473 429759 525261 565191 623997 750993 829131 892161 1090419 1289277 1575783 1695573 1871991 2252979 2487393 2676483 2753641 3040147 3271257 3998203 4727349 6758937 7462179 8260923 9120441 9813771 11994609 14182047 20276811 22386537 24782769 27361323 29441313 30290051 33441617 35983827 47813221 74348307 82083969 90870153 100324851 107951481 143439663 223044921 246251907 272610459 300974553 323854443 430318989 525945431 817831377 902923659 1290956967 1577836293 2453494131 2708770977 3872870901 4733508879 5785399741 14200526637 17356199223 42601579911 52068597669 156205793007 468617379021