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4067697648 = 243761198463
BaseRepresentation
bin1111001001110100…
…0010001111110000
3101111111002110011110
43302131002033300
531312312311043
61511344513320
7202541600550
oct36235021760
911444073143
104067697648
1117a81224a3
1295631b840
134ca9652b1
142a8337160
1518c198b33
hexf27423f0

4067697648 has 80 divisors (see below), whose sum is σ = 12206329856. Its totient is φ = 1143141120.

The previous prime is 4067697577. The next prime is 4067697649. The reversal of 4067697648 is 8467967604.

It is a happy number.

4067697648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4067697649) 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, 78736 + ... + 119727.

Almost surely, 24067697648 is an apocalyptic number.

4067697648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4067697648 is an abundant number, since it is smaller than the sum of its proper divisors (8138632208).

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

4067697648 is a wasteful number, since it uses less digits than its factorization.

4067697648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198542 (or 198536 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The square root of 4067697648 is about 63778.5045920646. The cubic root of 4067697648 is about 1596.3062772362.

The spelling of 4067697648 in words is "four billion, sixty-seven million, six hundred ninety-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 112 122 168 183 244 336 366 427 488 732 854 976 1281 1464 1708 2562 2928 3416 5124 6832 10248 20496 198463 396926 595389 793852 1190778 1389241 1587704 2381556 2778482 3175408 4167723 4763112 5556964 8335446 9526224 11113928 12106243 16670892 22227856 24212486 33341784 36318729 48424972 66683568 72637458 84743701 96849944 145274916 169487402 193699888 254231103 290549832 338974804 508462206 581099664 677949608 1016924412 1355899216 2033848824 4067697648