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46264220046 = 23211273328979
BaseRepresentation
bin101011000101100011…
…111111100110001110
311102102020021212221100
4223011203333212032
51224222120020141
633130430443530
73225320245002
oct530543774616
9142366255840
1046264220046
1118690a45300
128b719635a6
134493acc345
14234c518702
15130b9120b6
hexac58ff98e

46264220046 has 72 divisors (see below), whose sum is σ = 110334336840. Its totient is φ = 13999851360.

The previous prime is 46264220027. The next prime is 46264220063. The reversal of 46264220046 is 64002246264.

46264220046 is a `hidden beast` number, since 4 + 6 + 2 + 642 + 2 + 0 + 0 + 4 + 6 = 666.

It is a super-3 number, since 3×462642200463 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1581985 + ... + 1610963.

It is an arithmetic number, because the mean of its divisors is an integer number (1532421345).

Almost surely, 246264220046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46264220046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55167168420).

46264220046 is an abundant number, since it is smaller than the sum of its proper divisors (64070116794).

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

46264220046 is a wasteful number, since it uses less digits than its factorization.

46264220046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29742 (or 29728 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 46264220046 in words is "forty-six billion, two hundred sixty-four million, two hundred twenty thousand, forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 733 1089 1466 2178 2199 4398 6597 8063 13194 16126 24189 28979 48378 57958 72567 86937 88693 145134 173874 177386 260811 266079 318769 521622 532158 637538 798237 956307 1596474 1912614 2868921 3506459 5737842 7012918 10519377 21038754 21241607 31558131 42483214 63116262 63724821 127449642 191174463 233657677 382348926 467315354 700973031 1401946062 2102919093 2570234447 4205838186 5140468894 7710703341 15421406682 23132110023 46264220046