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246040216264056 = 2331674571071112541
BaseRepresentation
bin110111111100010110110011…
…101100001101110101111000
31012021011012210201002111210110
4313330112303230031311320
5224222110330330422211
62231141152010544320
7102552550631450004
oct6774266354156570
91167135721074713
10246040216264056
117143a08490a235
12237182aa7380a0
13a7396539c8a86
1444a85a50b3704
151d6a10d6e8ea6
hexdfc5b3b0dd78

246040216264056 has 128 divisors (see below), whose sum is σ = 620245140802560. Its totient is φ = 81329841331200.

The previous prime is 246040216264021. The next prime is 246040216264057. The reversal of 246040216264056 is 650462612040642.

It is a happy number.

It is a super-2 number, since 2×2460402162640562 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 246040216263996 and 246040216264014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (246040216264057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19618861146 + ... + 19618873686.

It is an arithmetic number, because the mean of its divisors is an integer number (4845665162520).

Almost surely, 2246040216264056 is an apocalyptic number.

It is an amenable number.

246040216264056 is an abundant number, since it is smaller than the sum of its proper divisors (374204924538504).

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

246040216264056 is a wasteful number, since it uses less digits than its factorization.

246040216264056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23885 (or 23881 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 246040216264056 in words is "two hundred forty-six trillion, forty billion, two hundred sixteen million, two hundred sixty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 24 167 334 457 501 668 914 1002 1336 1371 1828 2004 2742 3656 4008 5484 10711 10968 12541 21422 25082 32133 37623 42844 50164 64266 75246 76319 85688 100328 128532 150492 152638 228957 257064 300984 305276 457914 610552 915828 1788737 1831656 2094347 3577474 4188694 4894927 5366211 5731237 6283041 7154948 8377388 9789854 10732422 11462474 12566082 14309896 14684781 16754776 17193711 19579708 21464844 22924948 25132164 29369562 34387422 39159416 42929688 45849896 50264328 58739124 68774844 117478248 134326651 137549688 268653302 402979953 537306604 805959906 817452809 957116579 1074613208 1611919812 1634905618 1914233158 2452358427 2871349737 3223839624 3269811236 3828466316 4904716854 5742699474 6539622472 7656932632 9809433708 11485398948 19618867416 22432550717 22970797896 44865101434 61387279507 67297652151 89730202868 122774559014 134595304302 179460405736 184161838521 245549118028 269190608604 368323677042 491098236056 538381217208 736647354084 1473294708168 10251675677669 20503351355338 30755027033007 41006702710676 61510054066014 82013405421352 123020108132028 246040216264056