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4012685894016 = 273229120111527
BaseRepresentation
bin111010011001000110101…
…101111010000110000000
3112012121102222102212222200
4322121012231322012000
51011220440042102031
612311222532433200
7562623045220632
oct72310655720600
915177388385880
104012685894016
1113078526385a8
12549828478800
132315190a0bb7
14dc3020a2a52
156e5a4a638e6
hex3a646b7a180

4012685894016 has 96 divisors (see below), whose sum is σ = 11945091459600. Its totient is φ = 1291439127552.

The previous prime is 4012685894011. The next prime is 4012685894029. The reversal of 4012685894016 is 6104985862104.

4012685894016 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 6 + 8 + 589 + 40 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×40126858940162 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4012685894011) 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 11 ways as a sum of consecutive naturals, for example, 60022356 + ... + 60089171.

Almost surely, 24012685894016 is an apocalyptic number.

It is an amenable number.

4012685894016 is an abundant number, since it is smaller than the sum of its proper divisors (7932405565584).

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

4012685894016 is a wasteful number, since it uses less digits than its factorization.

4012685894016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120111576 (or 120111561 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 4012685894016 in words is "four trillion, twelve billion, six hundred eighty-five million, eight hundred ninety-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 696 928 1044 1152 1392 1856 2088 2784 3712 4176 5568 8352 11136 16704 33408 120111527 240223054 360334581 480446108 720669162 960892216 1081003743 1441338324 1921784432 2162007486 2882676648 3483234283 3843568864 4324014972 5765353296 6966468566 7687137728 8648029944 10449702849 11530706592 13932937132 15374275456 17296059888 20899405698 23061413184 27865874264 31349108547 34592119776 41798811396 46122826368 55731748528 62698217094 69184239552 83597622792 111463497056 125396434188 138368479104 167195245584 222926994112 250792868376 334390491168 445853988224 501585736752 668780982336 1003171473504 1337561964672 2006342947008 4012685894016