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4639380768 = 2532114334057
BaseRepresentation
bin1000101001000011…
…10101010100100000
3102222022210221222100
410110201311110200
534000140141033
62044210010400
7222653041311
oct42441652440
912868727870
104639380768
111a7089a490
12a95876a00
1358c228029
1432022c608
151c2471513
hex114875520

4639380768 has 144 divisors (see below), whose sum is σ = 14727769056. Its totient is φ = 1373137920.

The previous prime is 4639380751. The next prime is 4639380791. The reversal of 4639380768 is 8670839364.

It is a Cunningham number, because it is equal to 681132-1.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119196 + ... + 153252.

It is an arithmetic number, because the mean of its divisors is an integer number (102276174).

Almost surely, 24639380768 is an apocalyptic number.

4639380768 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 4639380768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7363884528).

4639380768 is an abundant number, since it is smaller than the sum of its proper divisors (10088388288).

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

4639380768 is a wasteful number, since it uses less digits than its factorization.

4639380768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34127 (or 34116 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 4639380768 is about 68112.9999926593. Note that the first 5 decimals coincide. The cubic root of 4639380768 is about 1667.8359826993.

The spelling of 4639380768 in words is "four billion, six hundred thirty-nine million, three hundred eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 43 44 48 66 72 86 88 96 99 129 132 144 172 176 198 258 264 288 344 352 387 396 473 516 528 688 774 792 946 1032 1056 1376 1419 1548 1584 1892 2064 2838 3096 3168 3784 4128 4257 5676 6192 7568 8514 11352 12384 15136 17028 22704 34056 34057 45408 68112 68114 102171 136224 136228 204342 272456 306513 374627 408684 544912 613026 749254 817368 1089824 1123881 1226052 1464451 1498508 1634736 2247762 2452104 2928902 2997016 3269472 3371643 4393353 4495524 4904208 5857804 5994032 6743286 8786706 8991048 9808416 11715608 11988064 13180059 13486572 16108961 17573412 17982096 23431216 26360118 26973144 32217922 35146824 35964192 46862432 48326883 52720236 53946288 64435844 70293648 96653766 105440472 107892576 128871688 140587296 144980649 193307532 210880944 257743376 289961298 386615064 421761888 515486752 579922596 773230128 1159845192 1546460256 2319690384 4639380768