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46549788516 = 2232721124672
BaseRepresentation
bin101011010110100101…
…010110011101100100
311110011010122021020100
4223112211112131210
51230313221213031
633215031304100
73235355450100
oct532645263544
9143133567210
1046549788516
1118818162100
12903151b030
13450b01647a
142378412900
151326a1ede6
hexad6956764

46549788516 has 243 divisors, whose sum is σ = 150776136147. Its totient is φ = 12064963680.

The previous prime is 46549788499. The next prime is 46549788517. The reversal of 46549788516 is 61588794564.

The square root of 46549788516 is 215754.

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

46549788516 is a `hidden beast` number, since 4 + 6 + 5 + 49 + 78 + 8 + 516 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (46549788517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 99678115 + ... + 99678581.

Almost surely, 246549788516 is an apocalyptic number.

46549788516 is the 215754-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46549788516

46549788516 is an abundant number, since it is smaller than the sum of its proper divisors (104226347631).

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

46549788516 is a wasteful number, since it uses less digits than its factorization.

46549788516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 490 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 46549788516 in words is "forty-six billion, five hundred forty-nine million, seven hundred eighty-eight thousand, five hundred sixteen".