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46002440064 = 273719900737
BaseRepresentation
bin101010110101111101…
…011000011110000000
311101201222201002022110
4222311331120132000
51223203111040224
633044435535320
73215661201030
oct526575303600
9141658632273
1046002440064
11185671a6109
128aba15a540
1344517c3b49
1423258538c0
1512e3952929
hexab5f58780

46002440064 has 128 divisors (see below), whose sum is σ = 147000441600. Its totient is φ = 12451774464.

The previous prime is 46002439979. The next prime is 46002440069. The reversal of 46002440064 is 46004420064.

46002440064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46002440069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399297 + ... + 501440.

It is an arithmetic number, because the mean of its divisors is an integer number (1148440950).

Almost surely, 246002440064 is an apocalyptic number.

It is an amenable number.

46002440064 is an abundant number, since it is smaller than the sum of its proper divisors (100998001536).

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

46002440064 is a wasteful number, since it uses less digits than its factorization.

46002440064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900780 (or 900768 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 46002440064 in words is "forty-six billion, two million, four hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 266 304 336 384 399 448 456 532 608 672 798 896 912 1064 1216 1344 1596 1824 2128 2432 2688 3192 3648 4256 6384 7296 8512 12768 17024 25536 51072 900737 1801474 2702211 3602948 5404422 6305159 7205896 10808844 12610318 14411792 17114003 18915477 21617688 25220636 28823584 34228006 37830954 43235376 50441272 51342009 57647168 68456012 75661908 86470752 100882544 102684018 115294336 119798021 136912024 151323816 172941504 201765088 205368036 239596042 273824048 302647632 345883008 359394063 403530176 410736072 479192084 547648096 605295264 718788126 807060352 821472144 958384168 1095296192 1210590528 1437576252 1642944288 1916768336 2190592384 2421181056 2875152504 3285888576 3833536672 5750305008 6571777152 7667073344 11500610016 15334146688 23001220032 46002440064