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4066677104 = 247233742667
BaseRepresentation
bin1111001001100100…
…1001000101110000
3101111102011121020112
43302121021011300
531312032131404
61511311000452
7202530120320
oct36231110560
911442147215
104066677104
1117a7595776
12955b09128
134ca698919
142a814d280
1518c04656e
hexf2649170

4066677104 has 80 divisors (see below), whose sum is σ = 9650477568. Its totient is φ = 1621990656.

The previous prime is 4066677101. The next prime is 4066677113. The reversal of 4066677104 is 4017766604.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4066677101) 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, 73979 + ... + 116645.

Almost surely, 24066677104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4066677104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4825238784).

4066677104 is an abundant number, since it is smaller than the sum of its proper divisors (5583800464).

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

4066677104 is a wasteful number, since it uses less digits than its factorization.

4066677104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42742 (or 42736 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The square root of 4066677104 is about 63770.5034008671. The cubic root of 4066677104 is about 1596.1727670629.

The spelling of 4066677104 in words is "four billion, sixty-six million, six hundred seventy-seven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 37 46 56 74 92 112 148 161 184 259 296 322 368 518 592 644 851 1036 1288 1702 2072 2576 3404 4144 5957 6808 11914 13616 23828 42667 47656 85334 95312 170668 298669 341336 597338 682672 981341 1194676 1578679 1962682 2389352 3157358 3925364 4778704 6314716 6869387 7850728 11050753 12629432 13738774 15701456 22101506 25258864 27477548 36309617 44203012 54955096 72619234 88406024 109910192 145238468 176812048 254167319 290476936 508334638 580953872 1016669276 2033338552 4066677104