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46487223967716 = 22327633132
BaseRepresentation
bin10101001000111101001100…
…11110001001111111100100
320002121010122120022120221100
422210132212132021333210
522043121313313431331
6242511534051520100
712535406514000000
oct1244364636117744
9202533576276840
1046487223967716
11138a3137012854
1252696512b9030
131cc2959bcccbc
14b69dca7c3700
1555938cd76ae6
hex2a47a6789fe4

46487223967716 has 189 divisors, whose sum is σ = 137135493652521. Its totient is φ = 13278054916224.

The previous prime is 46487223967673. The next prime is 46487223967739. The reversal of 46487223967716 is 61776932278464.

The square root of 46487223967716 is 6818154.

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

46487223967716 is a `hidden beast` number, since 4 + 64 + 87 + 22 + 396 + 77 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42964485372900 + 3522738594816 = 6554730^2 + 1876896^2 .

It is a super-2 number, since 2×464872239677162 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 14031759276 + ... + 14031762588.

Almost surely, 246487223967716 is an apocalyptic number.

46487223967716 is the 6818154-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46487223967716

46487223967716 is an abundant number, since it is smaller than the sum of its proper divisors (90648269684805).

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

46487223967716 is an frugal number, since it uses more digits than its factorization.

46487223967716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6678 (or 3325 counting only the distinct ones).

The product of its digits is 1024192512, while the sum is 72.

The spelling of 46487223967716 in words is "forty-six trillion, four hundred eighty-seven billion, two hundred twenty-three million, nine hundred sixty-seven thousand, seven hundred sixteen".