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9828218154352 = 2413229532364799
BaseRepresentation
bin1000111100000100111101…
…1100111010110101110000
31021210120100102101022222211
42033001033130322311300
52242011142321414402
632523004315541504
72033031256633003
oct217011734726560
937716312338884
109828218154352
11314a13aa21944
12112893645a894
13563a48cc9700
1425d98c98753a
151209c3e784d7
hex8f04f73ad70

9828218154352 has 120 divisors (see below), whose sum is σ = 21733126848000. Its totient is φ = 4297046068224.

The previous prime is 9828218154329. The next prime is 9828218154389. The reversal of 9828218154352 is 2534518128289.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2973649 + ... + 5338447.

It is an arithmetic number, because the mean of its divisors is an integer number (181109390400).

Almost surely, 29828218154352 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 9828218154352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10866563424000).

9828218154352 is an abundant number, since it is smaller than the sum of its proper divisors (11904908693648).

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

9828218154352 is a wasteful number, since it uses less digits than its factorization.

9828218154352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364915 (or 2364896 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 58.

The spelling of 9828218154352 in words is "nine trillion, eight hundred twenty-eight billion, two hundred eighteen million, one hundred fifty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 29 52 53 58 104 106 116 169 208 212 232 338 377 424 464 676 689 754 848 1352 1378 1508 1537 2704 2756 3016 3074 4901 5512 6032 6148 8957 9802 11024 12296 17914 19604 19981 24592 35828 39208 39962 71656 78416 79924 143312 159848 259753 319696 519506 1039012 2078024 2364799 4156048 4729598 9459196 18918392 30742387 37836784 61484774 68579171 122969548 125334347 137158342 245939096 250668694 274316684 399651031 491878192 501337388 548633368 799302062 891529223 1002674776 1097266736 1598604124 1629346511 1783058446 2005349552 3197208248 3258693022 3566116892 3634696063 6394416496 6517386044 7132233784 7269392126 11589879899 13034772088 14264467568 14538784252 21181504643 23179759798 26069544176 29077568504 42363009286 46359519596 47251048819 58155137008 84726018572 92719039192 94502097638 169452037144 185438078384 189004195276 338904074288 378008390552 614263634647 756016781104 1228527269294 2457054538588 4914109077176 9828218154352