Search a number
-
+
4641680136 = 2331767277613
BaseRepresentation
bin1000101001010101…
…00110101100001000
3102222111010210010010
410110222212230020
534001232231021
62044331151520
7223011426102
oct42452465410
912874123103
104641680136
111a7211aa95
12a965a55a0
1358c8517c2
1432066a572
151c2777976
hex114aa6b08

4641680136 has 128 divisors (see below), whose sum is σ = 12535620480. Its totient is φ = 1426968576.

The previous prime is 4641680123. The next prime is 4641680143. The reversal of 4641680136 is 6310861464.

It is a junction number, because it is equal to n+sod(n) for n = 4641680094 and 4641680103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7571766 + ... + 7572378.

It is an arithmetic number, because the mean of its divisors is an integer number (97934535).

Almost surely, 24641680136 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 4641680136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6267810240).

4641680136 is an abundant number, since it is smaller than the sum of its proper divisors (7893940344).

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

4641680136 is a wasteful number, since it uses less digits than its factorization.

4641680136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 4641680136 is about 68129.8769703865. The cubic root of 4641680136 is about 1668.1114745872. Note that the first 3 decimals are identical.

The spelling of 4641680136 in words is "four billion, six hundred forty-one million, six hundred eighty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 67 68 102 134 136 201 204 268 277 402 408 536 554 613 804 831 1108 1139 1226 1608 1662 1839 2216 2278 2452 3324 3417 3678 4556 4709 4904 6648 6834 7356 9112 9418 10421 13668 14127 14712 18559 18836 20842 27336 28254 31263 37118 37672 41071 41684 55677 56508 62526 74236 82142 83368 111354 113016 123213 125052 148472 164284 169801 222708 246426 250104 315503 328568 339602 445416 492852 509403 631006 679204 698207 946509 985704 1018806 1262012 1358408 1396414 1893018 2037612 2094621 2524024 2792828 2886617 3786036 4075224 4189242 5585656 5773234 7572072 8378484 8659851 11376667 11546468 16756968 17319702 22753334 23092936 34130001 34639404 45506668 68260002 69278808 91013336 136520004 193403339 273040008 386806678 580210017 773613356 1160420034 1547226712 2320840068 4641680136