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4640012256 = 2531143910009
BaseRepresentation
bin1000101001001000…
…01111011111100000
3102222101000001012210
410110210033133200
534000320343011
62044231322120
7222661311345
oct42444173740
912871001183
104640012256
111a71190980
12a95b20340
1358c3b95a9
143203547cc
151c25486a6
hex11490f7e0

4640012256 has 96 divisors (see below), whose sum is σ = 13318905600. Its totient is φ = 1402721280.

The previous prime is 4640012231. The next prime is 4640012257. The reversal of 4640012256 is 6522100464.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4640012257) 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, 458580 + ... + 468588.

It is an arithmetic number, because the mean of its divisors is an integer number (138738600).

Almost surely, 24640012256 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 4640012256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6659452800).

4640012256 is an abundant number, since it is smaller than the sum of its proper divisors (8678893344).

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

4640012256 is a wasteful number, since it uses less digits than its factorization.

4640012256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10472 (or 10464 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 4640012256 is about 68117.6354257838. The cubic root of 4640012256 is about 1667.9116516070.

The spelling of 4640012256 in words is "four billion, six hundred forty million, twelve thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 439 528 878 1056 1317 1756 2634 3512 4829 5268 7024 9658 10009 10536 14048 14487 19316 20018 21072 28974 30027 38632 40036 42144 57948 60054 77264 80072 110099 115896 120108 154528 160144 220198 231792 240216 320288 330297 440396 463584 480432 660594 880792 960864 1321188 1761584 2642376 3523168 4393951 5284752 8787902 10569504 13181853 17575804 26363706 35151608 48333461 52727412 70303216 96666922 105454824 140606432 145000383 193333844 210909648 290000766 386667688 421819296 580001532 773335376 1160003064 1546670752 2320006128 4640012256