Search a number
-
+
46006949088 = 2532389410659
BaseRepresentation
bin101010110110001110…
…100101010011100000
311101202022012011112100
4222312032211103200
51223210234332323
633045120330400
73216044420622
oct526616452340
9141668164470
1046006949088
11185697a5881
128abb773a00
1344527122c9
1423262a8c12
1512e4043943
hexab63a54e0

46006949088 has 72 divisors (see below), whose sum is σ = 131168910600. Its totient is φ = 15296189184.

The previous prime is 46006949041. The next prime is 46006949099. The reversal of 46006949088 is 88094960064.

46006949088 is a `hidden beast` number, since 460 + 0 + 6 + 94 + 90 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 93298 + ... + 317361.

It is an arithmetic number, because the mean of its divisors is an integer number (1821790425).

Almost surely, 246006949088 is an apocalyptic number.

46006949088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

46006949088 is an abundant number, since it is smaller than the sum of its proper divisors (85161961512).

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

46006949088 is a wasteful number, since it uses less digits than its factorization.

46006949088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411064 (or 411053 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 46006949088 in words is "forty-six billion, six million, nine hundred forty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 389 778 1167 1556 2334 3112 3501 4668 6224 7002 9336 12448 14004 18672 28008 37344 56016 112032 410659 821318 1231977 1642636 2463954 3285272 3695931 4927908 6570544 7391862 9855816 13141088 14783724 19711632 29567448 39423264 59134896 118269792 159746351 319492702 479239053 638985404 958478106 1277970808 1437717159 1916956212 2555941616 2875434318 3833912424 5111883232 5750868636 7667824848 11501737272 15335649696 23003474544 46006949088