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46861858576 = 241322321812
BaseRepresentation
bin101011101001001011…
…110011011100010000
311110221212212001212201
4223221023303130100
51231433113433301
633310020132544
73246165140251
oct535113633420
9143855761781
1046861858576
111896832aa45
1290b9b37154
13455a87c100
1423a7a48b28
151344115201
hexae92f3710

46861858576 has 135 divisors (see below), whose sum is σ = 103347758367. Its totient is φ = 20573879040.

The previous prime is 46861858523. The next prime is 46861858607. The reversal of 46861858576 is 67585816864.

The square root of 46861858576 is 216476.

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

46861858576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 36092400400 + 10769458176 = 189980^2 + 103776^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 258905206 + ... + 258905386.

Almost surely, 246861858576 is an apocalyptic number.

46861858576 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

46861858576 is the 216476-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46861858576

46861858576 is an abundant number, since it is smaller than the sum of its proper divisors (56485899791).

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

46861858576 is a wasteful number, since it uses less digits than its factorization.

46861858576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 219 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 64.

Multiplying 46861858576 by its sum of digits (64), we get a square (2999158948864 = 17318082).

The spelling of 46861858576 in words is "forty-six billion, eight hundred sixty-one million, eight hundred fifty-eight thousand, five hundred seventy-six".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 169 181 184 208 299 338 362 368 529 598 676 724 1058 1196 1352 1448 2116 2353 2392 2704 2896 3887 4163 4232 4706 4784 6877 7774 8326 8464 9412 13754 15548 16652 18824 27508 30589 31096 32761 33304 37648 54119 55016 61178 62192 65522 66608 89401 95749 108238 110032 122356 131044 178802 191498 216476 244712 262088 357604 382996 425893 432952 489424 524176 703547 715208 753503 765992 851786 865904 1244737 1407094 1430416 1507006 1531984 1703572 2489474 2814188 3014012 3407144 4978948 5536609 5628376 6028024 6814288 9795539 9957896 11073218 11256752 12056048 16181581 17330569 19591078 19915792 22146436 32363162 34661138 39182156 44292872 64726324 69322276 78364312 88585744 127342007 129452648 138644552 156728624 225297397 254684014 258905296 277289104 450594794 509368028 901189588 1018736056 1802379176 2037472112 2928866161 3604758352 5857732322 11715464644 23430929288 46861858576