Search a number
-
+
9678840672 = 253811712421
BaseRepresentation
bin10010000001110011…
…10110001101100000
3220222112110001100110
421000321312031200
5124310240400142
64240231051320
7461564534244
oct110071661540
926875401313
109678840672
1141174a9286
121a61510b40
13bb32c1677
1467b642424
153b9abe99c
hex240e76360

9678840672 has 48 divisors (see below), whose sum is σ = 25412132592. Its totient is φ = 3225623040.

The previous prime is 9678840671. The next prime is 9678840727. The reversal of 9678840672 is 2760488769.

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

It is a super-3 number, since 3×96788406723 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9678840671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 773022 + ... + 785442.

It is an arithmetic number, because the mean of its divisors is an integer number (529419429).

Almost surely, 29678840672 is an apocalyptic number.

It is an amenable number.

9678840672 is an abundant number, since it is smaller than the sum of its proper divisors (15733291920).

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

9678840672 is a wasteful number, since it uses less digits than its factorization.

9678840672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20551 (or 20543 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The square root of 9678840672 is about 98381.0991603570. The cubic root of 9678840672 is about 2131.1193886963.

The spelling of 9678840672 in words is "nine billion, six hundred seventy-eight million, eight hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 8117 12421 16234 24351 24842 32468 37263 48702 49684 64936 74526 97404 99368 129872 149052 194808 198736 259744 298104 389616 397472 596208 779232 1192416 100821257 201642514 302463771 403285028 604927542 806570056 1209855084 1613140112 2419710168 3226280224 4839420336 9678840672