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46488103321 = 11217211532
BaseRepresentation
bin101011010010111010…
…000010100110011001
311102222211120100001111
4223102322002212121
51230201423301241
633204545220321
73234006233632
oct532272024631
9142884510044
1046488103321
1118796360100
1290149316a1
1344cb2c945a
142370156889
1513213d7c81
hexad2e82999

46488103321 has 27 divisors (see below), whose sum is σ = 54328217853. Its totient is φ = 39741419520.

The previous prime is 46488103289. The next prime is 46488103357. The reversal of 46488103321 is 12330188464.

The square root of 46488103321 is 215611.

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

It can be written as a sum of positive squares in 4 ways, for example, as 15045720921 + 31442382400 = 122661^2 + 177320^2 .

It is not a de Polignac number, because 46488103321 - 25 = 46488103289 is a prime.

It is a super-2 number, since 2×464881033212 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46488103021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40318681 + ... + 40319833.

Almost surely, 246488103321 is an apocalyptic number.

46488103321 is the 215611-st square number.

46488103321 is the 107806-th centered octagonal number.

It is an amenable number.

46488103321 is a deficient number, since it is larger than the sum of its proper divisors (7840114532).

46488103321 is an equidigital number, since it uses as much as digits as its factorization.

46488103321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 46488103321 in words is "forty-six billion, four hundred eighty-eight million, one hundred three thousand, three hundred twenty-one".

Divisors: 1 11 17 121 187 289 1153 2057 3179 12683 19601 34969 139513 215611 333217 1329409 2371721 3665387 14623499 22599953 40319257 160858489 248599483 384199201 2734594313 4226191211 46488103321