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3946522100064 = 253282111457219
BaseRepresentation
bin111001011011011111000…
…011000100000101100000
3111222021122220120220111120
4321123133003010011200
51004124434124200224
612221001321012240
7555061332234315
oct71333703040540
914867586526446
103946522100064
11129178a926955
12538a42324080
1322820365966b
14d9026b64d0c
156c9d1121779
hex396df0c4160

3946522100064 has 48 divisors (see below), whose sum is σ = 10359994841280. Its totient is φ = 1315459832960.

The previous prime is 3946522100047. The next prime is 3946522100077. The reversal of 3946522100064 is 4600012256493.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 3946522099989 and 3946522100025.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1979647 + ... + 3436865.

It is an arithmetic number, because the mean of its divisors is an integer number (215833225860).

Almost surely, 23946522100064 is an apocalyptic number.

It is an amenable number.

3946522100064 is an abundant number, since it is smaller than the sum of its proper divisors (6413472741216).

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

3946522100064 is a wasteful number, since it uses less digits than its factorization.

3946522100064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485443 (or 1485435 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 3946522100064 in words is "three trillion, nine hundred forty-six billion, five hundred twenty-two million, one hundred thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 28211 56422 84633 112844 169266 225688 338532 451376 677064 902752 1354128 1457219 2708256 2914438 4371657 5828876 8743314 11657752 17486628 23315504 34973256 46631008 69946512 139893024 41109605209 82219210418 123328815627 164438420836 246657631254 328876841672 493315262508 657753683344 986630525016 1315507366688 1973261050032 3946522100064