Search a number
-
+
45755268069 = 3731714871759
BaseRepresentation
bin101010100111001110…
…011111101111100101
311101002202121110002010
4222213032133233211
51222201322034234
633004130104433
73206600235000
oct524716375745
9141082543063
1045755268069
111844a724135
128a4b41b119
134412531724
142300ab2537
1512cbdcb6e9
hexaa739fbe5

45755268069 has 64 divisors (see below), whose sum is σ = 75423744000. Its totient is φ = 24577346304.

The previous prime is 45755267993. The next prime is 45755268127. The reversal of 45755268069 is 96086255754.

It is not a de Polignac number, because 45755268069 - 27 = 45755267941 is a prime.

It is a super-2 number, since 2×457552680692 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45755268469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26011212 + ... + 26012970.

It is an arithmetic number, because the mean of its divisors is an integer number (1178496000).

Almost surely, 245755268069 is an apocalyptic number.

45755268069 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

45755268069 is a deficient number, since it is larger than the sum of its proper divisors (29668475931).

45755268069 is a wasteful number, since it uses less digits than its factorization.

45755268069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 57.

The spelling of 45755268069 in words is "forty-five billion, seven hundred fifty-five million, two hundred sixty-eight thousand, sixty-nine".

Divisors: 1 3 7 17 21 49 51 119 147 343 357 833 1029 1487 1759 2499 4461 5277 5831 10409 12313 17493 25279 29903 31227 36939 72863 75837 86191 89709 176953 209321 218589 258573 510041 530859 603337 627963 1238671 1465247 1530123 1810011 2615633 3716013 4395741 7846899 8670697 10256729 18309431 26012091 30770187 44465761 54928293 128166017 133397283 311260327 384498051 897162119 933780981 2178822289 2691486357 6536466867 15251756023 45755268069