Search a number
-
+
4696868064 = 25376989387
BaseRepresentation
bin1000101111111010…
…01000010011100000
3110010022222121201110
410113331020103200
534104344234224
62054022103320
7224251501620
oct42775102340
913108877643
104696868064
111aa0294549
12ab0b7ab40
1359b105395
14327b14880
151c7529929
hex117f484e0

4696868064 has 48 divisors (see below), whose sum is σ = 14090606208. Its totient is φ = 1341962112.

The previous prime is 4696868053. The next prime is 4696868087. The reversal of 4696868064 is 4608686964.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×46968680643 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 4696867995 and 4696868013.

It is a congruent number.

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, 3494022 + ... + 3495365.

It is an arithmetic number, because the mean of its divisors is an integer number (293554296).

Almost surely, 24696868064 is an apocalyptic number.

It is an amenable number.

4696868064 is an abundant number, since it is smaller than the sum of its proper divisors (9393738144).

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

4696868064 is a wasteful number, since it uses less digits than its factorization.

4696868064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6989407 (or 6989399 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 57.

The square root of 4696868064 is about 68533.7002065407. The cubic root of 4696868064 is about 1674.6965294428.

The spelling of 4696868064 in words is "four billion, six hundred ninety-six million, eight hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 6989387 13978774 20968161 27957548 41936322 48925709 55915096 83872644 97851418 111830192 146777127 167745288 195702836 223660384 293554254 335490576 391405672 587108508 670981152 782811344 1174217016 1565622688 2348434032 4696868064