Search a number
-
+
43925962368 = 273314778511
BaseRepresentation
bin101000111010001100…
…001111111010000000
311012101021110002102010
4220322030033322000
51204430021243433
632102421452520
73113345343141
oct507214177200
9135337402363
1043925962368
11176a1073742
12861a871140
1341b0550712
1421a9b6bac8
1512214d4e63
hexa3a30fe80

43925962368 has 128 divisors (see below), whose sum is σ = 123006320640. Its totient is φ = 13868006400.

The previous prime is 43925962361. The next prime is 43925962427. The reversal of 43925962368 is 86326952934.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (43925962361) 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, 520233 + ... + 598743.

It is an arithmetic number, because the mean of its divisors is an integer number (960986880).

Almost surely, 243925962368 is an apocalyptic number.

43925962368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43925962368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61503160320).

43925962368 is an abundant number, since it is smaller than the sum of its proper divisors (79080358272).

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

43925962368 is a wasteful number, since it uses less digits than its factorization.

43925962368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78606 (or 78594 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 57.

The spelling of 43925962368 in words is "forty-three billion, nine hundred twenty-five million, nine hundred sixty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 47 48 62 64 93 94 96 124 128 141 186 188 192 248 282 372 376 384 496 564 744 752 992 1128 1457 1488 1504 1984 2256 2914 2976 3008 3968 4371 4512 5828 5952 6016 8742 9024 11656 11904 17484 18048 23312 34968 46624 69936 78511 93248 139872 157022 186496 235533 279744 314044 471066 559488 628088 942132 1256176 1884264 2433841 2512352 3690017 3768528 4867682 5024704 7301523 7380034 7537056 9735364 10049408 11070051 14603046 14760068 15074112 19470728 22140102 29206092 29520136 30148224 38941456 44280204 58412184 59040272 77882912 88560408 114390527 116824368 118080544 155765824 177120816 228781054 233648736 236161088 311531648 343171581 354241632 457562108 467297472 472322176 686343162 708483264 915124216 934594944 1372686324 1416966528 1830248432 2745372648 3660496864 5490745296 7320993728 10981490592 14641987456 21962981184 43925962368