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4064506368 = 29313297019
BaseRepresentation
bin1111001001000011…
…0111001000000000
3101111021002022112220
43302100313020000
531311003200433
61511152251040
7202502506536
oct36220671000
911437068486
104064506368
1117a634287a
12955240a80
134ca0b8870
142a7b46156
1518bc682b3
hexf2437200

4064506368 has 160 divisors (see below), whose sum is σ = 12064852800. Its totient is φ = 1207320576.

The previous prime is 4064506343. The next prime is 4064506393. The reversal of 4064506368 is 8636054604.

It is an interprime number because it is at equal distance from previous prime (4064506343) and next prime (4064506393).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 575563 + ... + 582581.

It is an arithmetic number, because the mean of its divisors is an integer number (75405330).

Almost surely, 24064506368 is an apocalyptic number.

4064506368 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 4064506368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032426400).

4064506368 is an abundant number, since it is smaller than the sum of its proper divisors (8000346432).

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

4064506368 is a wasteful number, since it uses less digits than its factorization.

4064506368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7082 (or 7066 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 4064506368 is about 63753.4812225968. The cubic root of 4064506368 is about 1595.8887115320. Note that the first 3 decimals are identical.

The spelling of 4064506368 in words is "four billion, sixty-four million, five hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 64 78 87 96 104 116 128 156 174 192 208 232 256 312 348 377 384 416 464 512 624 696 754 768 832 928 1131 1248 1392 1508 1536 1664 1856 2262 2496 2784 3016 3328 3712 4524 4992 5568 6032 6656 7019 7424 9048 9984 11136 12064 14038 14848 18096 19968 21057 22272 24128 28076 36192 42114 44544 48256 56152 72384 84228 91247 96512 112304 144768 168456 182494 193024 203551 224608 273741 289536 336912 364988 407102 449216 547482 579072 610653 673824 729976 814204 898432 1094964 1221306 1347648 1459952 1628408 1796864 2189928 2442612 2646163 2695296 2919904 3256816 3593728 4379856 4885224 5292326 5390592 5839808 6513632 7938489 8759712 9770448 10584652 10781184 11679616 13027264 15876978 17519424 19540896 21169304 23359232 26054528 31753956 35038848 39081792 42338608 46718464 52109056 63507912 70077696 78163584 84677216 104218112 127015824 140155392 156327168 169354432 254031648 312654336 338708864 508063296 677417728 1016126592 1354835456 2032253184 4064506368