Search a number
-
+
4072666000 = 245313156641
BaseRepresentation
bin1111001010111111…
…1111001110010000
3101111211102212110111
43302233333032100
531320100303000
61512043211104
7202632042544
oct36257771620
911454385414
104072666000
1117aaa06277
12957b16a94
134cb9b4850
142a8c6ba24
1518c82acba
hexf2bff390

4072666000 has 80 divisors (see below), whose sum is σ = 10605289968. Its totient is φ = 1503744000.

The previous prime is 4072665967. The next prime is 4072666001. The reversal of 4072666000 is 6662704.

It can be written as a sum of positive squares in 8 ways, for example, as 2874675456 + 1197990544 = 53616^2 + 34612^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4072666001) 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, 52321 + ... + 104320.

Almost surely, 24072666000 is an apocalyptic number.

4072666000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4072666000 is an abundant number, since it is smaller than the sum of its proper divisors (6532623968).

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

4072666000 is a wasteful number, since it uses less digits than its factorization.

4072666000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156677 (or 156661 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 4072666000 is about 63817.4427566633. The cubic root of 4072666000 is about 1596.9559309501.

The spelling of 4072666000 in words is "four billion, seventy-two million, six hundred sixty-six thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 13000 26000 156641 313282 626564 783205 1253128 1566410 2036333 2506256 3132820 3916025 4072666 6265640 7832050 8145332 10181665 12531280 15664100 16290664 19580125 20363330 31328200 32581328 39160250 40726660 50908325 62656400 78320500 81453320 101816650 156641000 162906640 203633300 254541625 313282000 407266600 509083250 814533200 1018166500 2036333000 4072666000