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6076139264 = 281323163487
BaseRepresentation
bin1011010100010101…
…01000011100000000
3120200110022212002222
411222022220130000
544420442424024
62442532430212
7303400221506
oct55212503400
916613285088
106076139264
1126389053a8
121216a78368
1375aaa6aa0
14418d8c676
1525867785e
hex16a2a8700

6076139264 has 144 divisors (see below), whose sum is σ = 13741174272. Its totient is φ = 2660511744.

The previous prime is 6076139263. The next prime is 6076139309. The reversal of 6076139264 is 4629316706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6076139263) 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, 12476429 + ... + 12476915.

Almost surely, 26076139264 is an apocalyptic number.

6076139264 is a gapful number since it is divisible by the number (64) 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 6076139264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6870587136).

6076139264 is an abundant number, since it is smaller than the sum of its proper divisors (7665035008).

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

6076139264 is a wasteful number, since it uses less digits than its factorization.

6076139264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 44.

The square root of 6076139264 is about 77949.5943799581. The cubic root of 6076139264 is about 1824.7746530040.

The spelling of 6076139264 in words is "six billion, seventy-six million, one hundred thirty-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 163 184 208 256 299 326 368 416 487 598 652 736 832 974 1196 1304 1472 1664 1948 2119 2392 2608 2944 3328 3749 3896 4238 4784 5216 5888 6331 7498 7792 8476 9568 10432 11201 12662 14996 15584 16952 19136 20864 22402 25324 29992 31168 33904 38272 41728 44804 48737 50648 59984 62336 67808 76544 79381 89608 97474 101296 119968 124672 135616 145613 158762 179216 194948 202592 239936 271232 291226 317524 358432 389896 405184 479872 542464 582452 635048 716864 779792 810368 959744 1031953 1164904 1270096 1433728 1559584 1620736 1825763 2063906 2329808 2540192 2867456 3119168 3651526 4127812 4659616 5080384 6238336 7303052 8255624 9319232 10160768 12476672 14606104 16511248 18638464 20321536 23734919 29212208 33022496 37276928 47469838 58424416 66044992 94939676 116848832 132089984 189879352 233697664 264179968 379758704 467395328 759517408 1519034816 3038069632 6076139264