Search a number
-
+
44993932974 = 235831139871
BaseRepresentation
bin101001111001110110…
…001110111010101110
311022010201000121200000
4221321312032322232
51214121421323344
632400412045130
73151664056104
oct517166167256
9138121017600
1044993932974
11180999a1881
1288784637a6
1343208987a3
14226b92dc74
151285140a69
hexa79d8eeae

44993932974 has 96 divisors (see below), whose sum is σ = 103231425024. Its totient is φ = 14684664960.

The previous prime is 44993932961. The next prime is 44993932987. The reversal of 44993932974 is 47923939944.

44993932974 is a `hidden beast` number, since 449 + 93 + 9 + 32 + 9 + 74 = 666.

It is an interprime number because it is at equal distance from previous prime (44993932961) and next prime (44993932987).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4553259 + ... + 4563129.

It is an arithmetic number, because the mean of its divisors is an integer number (1075327344).

Almost surely, 244993932974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44993932974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51615712512).

44993932974 is an abundant number, since it is smaller than the sum of its proper divisors (58237492050).

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

44993932974 is a wasteful number, since it uses less digits than its factorization.

44993932974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10084 (or 10072 counting only the distinct ones).

The product of its digits is 52907904, while the sum is 63.

The spelling of 44993932974 in words is "forty-four billion, nine hundred ninety-three million, nine hundred thirty-two thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 81 83 113 162 166 226 243 249 339 486 498 678 747 1017 1494 2034 2241 3051 4482 6102 6723 9153 9379 9871 13446 18306 18758 19742 20169 27459 28137 29613 40338 54918 56274 59226 84411 88839 168822 177678 253233 266517 506466 533034 759699 799551 819293 1115423 1519398 1599102 1638586 2230846 2279097 2398653 2457879 3346269 4558194 4797306 4915758 6692538 7373637 10038807 14747274 20077614 22120911 30116421 44241822 60232842 66362733 90349263 92580109 132725466 180698526 185160218 199088199 271047789 277740327 398176398 542095578 555480654 833220981 1666441962 2499662943 4999325886 7498988829 14997977658 22496966487 44993932974