Search a number
-
+
4377056706 = 2321171503619
BaseRepresentation
bin1000001001110010…
…01001010111000010
3102022001012112000100
410010321021113002
532431011303311
62002155303230
7213316240161
oct40471112702
912261175010
104377056706
111946809540
12a21a4ab16
13549a8bca9
142d74653d8
151a9405a56
hex104e495c2

4377056706 has 96 divisors (see below), whose sum is σ = 10529326080. Its totient is φ = 1302991200.

The previous prime is 4377056689. The next prime is 4377056707. The reversal of 4377056706 is 6076507734.

It is not an unprimeable number, because it can be changed into a prime (4377056707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7070865 + ... + 7071483.

It is an arithmetic number, because the mean of its divisors is an integer number (109680480).

Almost surely, 24377056706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4377056706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5264663040).

4377056706 is an abundant number, since it is smaller than the sum of its proper divisors (6152269374).

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

4377056706 is a wasteful number, since it uses less digits than its factorization.

4377056706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The square root of 4377056706 is about 66159.3281858273. The cubic root of 4377056706 is about 1635.7894052944.

The spelling of 4377056706 in words is "four billion, three hundred seventy-seven million, fifty-six thousand, seven hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 71 99 142 198 213 426 503 619 639 781 1006 1238 1278 1509 1562 1857 2343 3018 3714 4527 4686 5533 5571 6809 7029 9054 11066 11142 13618 14058 16599 20427 33198 35713 40854 43949 49797 61281 71426 87898 99594 107139 122562 131847 214278 263694 311357 321417 392843 395541 483439 622714 642834 785686 791082 934071 966878 1178529 1450317 1868142 2357058 2802213 2900634 3424927 3535587 4350951 5604426 6849854 7071174 8701902 10274781 20549562 22106347 30824343 44212694 61648686 66319041 132638082 198957123 243169817 397914246 486339634 729509451 1459018902 2188528353 4377056706