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4692682752 = 21135314411
BaseRepresentation
bin1000101111011010…
…01010100000000000
3110010001002222112220
410113231022200000
534102311322002
62053352251040
7224201100552
oct42755124000
913101088486
104692682752
111a9899600a
12aab6a0a80
1359a29b374
143273454d2
151c6e9e7bc
hex117b4a800

4692682752 has 96 divisors (see below), whose sum is σ = 12747702240. Its totient is φ = 1534607360.

The previous prime is 4692682741. The next prime is 4692682777. The reversal of 4692682752 is 2572862964.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 4692682695 and 4692682704.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318427 + ... + 332837.

It is an arithmetic number, because the mean of its divisors is an integer number (132788565).

Almost surely, 24692682752 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 4692682752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6373851120).

4692682752 is an abundant number, since it is smaller than the sum of its proper divisors (8055019488).

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

4692682752 is a wasteful number, since it uses less digits than its factorization.

4692682752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14489 (or 14469 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The square root of 4692682752 is about 68503.1587008950. The cubic root of 4692682752 is about 1674.1989489042.

The spelling of 4692682752 in words is "four billion, six hundred ninety-two million, six hundred eighty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 512 636 768 848 1024 1272 1536 1696 2048 2544 3072 3392 5088 6144 6784 10176 13568 14411 20352 27136 28822 40704 43233 54272 57644 81408 86466 108544 115288 162816 172932 230576 325632 345864 461152 691728 763783 922304 1383456 1527566 1844608 2291349 2766912 3055132 3689216 4582698 5533824 6110264 7378432 9165396 11067648 12220528 14756864 18330792 22135296 24441056 29513728 36661584 44270592 48882112 73323168 88541184 97764224 146646336 195528448 293292672 391056896 586585344 782113792 1173170688 1564227584 2346341376 4692682752