Search a number
-
+
9997581216392 = 2371124721312527
BaseRepresentation
bin1001000101111011111001…
…0001101110101010001000
31022101202111121212022111022
42101132332101232222020
52302300021242411032
633132454142052012
72051205245126120
oct221367621565210
938352447768438
109997581216392
113204a4aa62100
12115572187a008
135769c9cc4013
14267c57bbdc80
151250d790b512
hex917be46ea88

9997581216392 has 96 divisors (see below), whose sum is σ = 23553085167360. Its totient is φ = 3894323980800.

The previous prime is 9997581216361. The next prime is 9997581216431. The reversal of 9997581216392 is 2936121857999.

9997581216392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31833233 + ... + 32145759.

It is an arithmetic number, because the mean of its divisors is an integer number (245344637160).

Almost surely, 29997581216392 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 9997581216392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11776542583680).

9997581216392 is an abundant number, since it is smaller than the sum of its proper divisors (13555503950968).

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

9997581216392 is a wasteful number, since it uses less digits than its factorization.

9997581216392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317283 (or 317268 counting only the distinct ones).

The product of its digits is 132269760, while the sum is 71.

The spelling of 9997581216392 in words is "nine trillion, nine hundred ninety-seven billion, five hundred eighty-one million, two hundred sixteen thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 242 308 484 616 847 968 1694 3388 4721 6776 9442 18884 33047 37768 51931 66094 103862 132188 207724 264376 312527 363517 415448 571241 625054 727034 1142482 1250108 1454068 2187689 2284964 2500216 2908136 3437797 3998687 4375378 4569928 6875594 7997374 8750756 13751188 15994748 17501512 24064579 27502376 31989496 37815767 48129158 75631534 96258316 151263068 192516632 264710369 302526136 529420738 1058841476 1475439967 2117682952 2950879934 5901759868 10328079769 11803519736 16229839637 20656159538 32459679274 41312319076 64919358548 82624638152 113608877459 129838717096 178528236007 227217754918 357056472014 454435509836 714112944028 908871019672 1249697652049 1428225888056 2499395304098 4998790608196 9997581216392