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4068607488 = 293111132131
BaseRepresentation
bin1111001010000010…
…0000011000000000
3101111112210200020020
43302200200120000
531313030414423
61511420213440
7202552410261
oct36240403000
911445720206
104068607488
1117a8694030
1295669a280
134cabc346a
142a84d2968
1518c2c84e3
hexf2820600

4068607488 has 160 divisors (see below), whose sum is σ = 11934628992. Its totient is φ = 1221427200.

The previous prime is 4068607469. The next prime is 4068607507. The reversal of 4068607488 is 8847068604.

It is an interprime number because it is at equal distance from previous prime (4068607469) and next prime (4068607507).

It is a self number, because there is not a number n which added to its sum of digits gives 4068607488.

It is a congruent number.

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, 1908183 + ... + 1910313.

Almost surely, 24068607488 is an apocalyptic number.

4068607488 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 4068607488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5967314496).

4068607488 is an abundant number, since it is smaller than the sum of its proper divisors (7866021504).

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

4068607488 is a wasteful number, since it uses less digits than its factorization.

4068607488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The square root of 4068607488 is about 63785.6370039525. The cubic root of 4068607488 is about 1596.4252860019.

The spelling of 4068607488 in words is "four billion, sixty-eight million, six hundred seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 113 128 132 176 192 226 256 264 339 352 384 452 512 528 678 704 768 904 1056 1243 1356 1408 1536 1808 2112 2131 2486 2712 2816 3616 3729 4224 4262 4972 5424 5632 6393 7232 7458 8448 8524 9944 10848 12786 14464 14916 16896 17048 19888 21696 23441 25572 28928 29832 34096 39776 43392 46882 51144 57856 59664 68192 70323 79552 86784 93764 102288 119328 136384 140646 159104 173568 187528 204576 238656 240803 272768 281292 318208 375056 409152 477312 481606 545536 562584 636416 722409 750112 818304 954624 963212 1091072 1125168 1444818 1500224 1636608 1909248 1926424 2250336 2648833 2889636 3000448 3273216 3852848 4500672 5297666 5779272 6000896 7705696 7946499 9001344 10595332 11558544 12001792 15411392 15892998 18002688 21190664 23117088 30822784 31785996 36005376 42381328 46234176 61645568 63571992 84762656 92468352 123291136 127143984 169525312 184936704 254287968 339050624 369873408 508575936 678101248 1017151872 1356202496 2034303744 4068607488