Search a number
-
+
9724139320672 = 257971912343139
BaseRepresentation
bin1000110110000001001111…
…0111101011010101100000
31021102121200222200202211001
42031200103313223111200
52233310014131230142
632403112525201344
72022355144303060
oct215402367532540
937377628622731
109724139320672
113109a91158717
12111072a700254
13556ca045601a
14258917d313a0
1511ce31ae55b7
hex8d813deb560

9724139320672 has 96 divisors (see below), whose sum is σ = 22220615208960. Its totient is φ = 4102928363520.

The previous prime is 9724139320633. The next prime is 9724139320751. The reversal of 9724139320672 is 2760239314279.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2978479 + ... + 5321617.

It is an arithmetic number, because the mean of its divisors is an integer number (231464741760).

Almost surely, 29724139320672 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 9724139320672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11110307604480).

9724139320672 is an abundant number, since it is smaller than the sum of its proper divisors (12496475888288).

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

9724139320672 is a wasteful number, since it uses less digits than its factorization.

9724139320672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343444 (or 2343436 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 55.

The spelling of 9724139320672 in words is "nine trillion, seven hundred twenty-four billion, one hundred thirty-nine million, three hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 97 112 191 194 224 382 388 679 764 776 1337 1358 1528 1552 2674 2716 3056 3104 5348 5432 6112 10696 10864 18527 21392 21728 37054 42784 74108 129689 148216 259378 296432 518756 592864 1037512 2075024 2343139 4150048 4686278 9372556 16401973 18745112 32803946 37490224 65607892 74980448 131215784 227284483 262431568 447539549 454568966 524863136 895079098 909137932 1590991381 1790158196 1818275864 3132776843 3181982762 3580316392 3636551728 6265553686 6363965524 7160632784 7273103456 12531107372 12727931048 14321265568 25062214744 25455862096 43411336253 50124429488 50911724192 86822672506 100248858976 173645345012 303879353771 347290690024 607758707542 694581380048 1215517415084 1389162760096 2431034830168 4862069660336 9724139320672