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4631807136 = 253114793323
BaseRepresentation
bin1000101000001001…
…11100010010100000
3102221210120011220110
410110010330102200
533441220312021
62043335411320
7222531465615
oct42404742240
912853504813
104631807136
111a67597290
12a93223b40
1358a7a59a8
1431d21a50c
151c1977476
hex11413c4a0

4631807136 has 96 divisors (see below), whose sum is σ = 13546165248. Its totient is φ = 1373699840.

The previous prime is 4631807113. The next prime is 4631807179. The reversal of 4631807136 is 6317081364.

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 = 4631807094 and 4631807103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2971 + ... + 96293.

It is an arithmetic number, because the mean of its divisors is an integer number (141105888).

Almost surely, 24631807136 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 4631807136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6773082624).

4631807136 is an abundant number, since it is smaller than the sum of its proper divisors (8914358112).

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

4631807136 is a wasteful number, since it uses less digits than its factorization.

4631807136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93394 (or 93386 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 4631807136 is about 68057.3812014538. The cubic root of 4631807136 is about 1666.9279264750.

The spelling of 4631807136 in words is "four billion, six hundred thirty-one million, eight hundred seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 66 88 94 96 132 141 176 188 264 282 352 376 517 528 564 752 1034 1056 1128 1504 1551 2068 2256 3102 4136 4512 6204 8272 12408 16544 24816 49632 93323 186646 279969 373292 559938 746584 1026553 1119876 1493168 2053106 2239752 2986336 3079659 4106212 4386181 4479504 6159318 8212424 8772362 8959008 12318636 13158543 16424848 17544724 24637272 26317086 32849696 35089448 48247991 49274544 52634172 70178896 96495982 98549088 105268344 140357792 144743973 192991964 210536688 289487946 385983928 421073376 578975892 771967856 1157951784 1543935712 2315903568 4631807136