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5659381416 = 2331322236257
BaseRepresentation
bin1010100010101001…
…10100111010101000
3112121102010100211010
411101110310322220
543042300201131
62333324103520
7260146643163
oct52124647250
915542110733
105659381416
112444634027
12111b394ba0
136c2648a00
143b98a4ada
15231ca3b46
hex151534ea8

5659381416 has 96 divisors (see below), whose sum is σ = 15391676160. Its totient is φ = 1733262336.

The previous prime is 5659381411. The next prime is 5659381417. The reversal of 5659381416 is 6141839565.

It is not an unprimeable number, because it can be changed into a prime (5659381411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 901360 + ... + 907616.

It is an arithmetic number, because the mean of its divisors is an integer number (160329960).

Almost surely, 25659381416 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 5659381416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7695838080).

5659381416 is an abundant number, since it is smaller than the sum of its proper divisors (9732294744).

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

5659381416 is a wasteful number, since it uses less digits than its factorization.

5659381416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6515 (or 6498 counting only the distinct ones).

The product of its digits is 777600, while the sum is 48.

The square root of 5659381416 is about 75228.8602598763. The cubic root of 5659381416 is about 1782.0627326347.

The spelling of 5659381416 in words is "five billion, six hundred fifty-nine million, three hundred eighty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 223 312 338 446 507 669 676 892 1014 1338 1352 1784 2028 2676 2899 4056 5352 5798 6257 8697 11596 12514 17394 18771 23192 25028 34788 37542 37687 50056 69576 75084 75374 81341 113061 150168 150748 162682 226122 244023 301496 325364 452244 488046 650728 904488 976092 1057433 1395311 1952184 2114866 2790622 3172299 4185933 4229732 5581244 6344598 8371866 8459464 11162488 12689196 16743732 18139043 25378392 33487464 36278086 54417129 72556172 108834258 145112344 217668516 235807559 435337032 471615118 707422677 943230236 1414845354 1886460472 2829690708 5659381416