Search a number
-
+
998634751192 = 231323127191069
BaseRepresentation
bin11101000100000110100…
…01010000010011011000
310112110122120110121012101
432202003101100103120
5112330200444014232
62042433320253144
7132102046220551
oct16420321202330
93473576417171
10998634751192
113555783122a1
121416609111b4
137322b496800
1436496dbd328
151ae9b9881e7
hexe8834504d8

998634751192 has 144 divisors (see below), whose sum is σ = 2099944764000. Its totient is φ = 445003303680.

The previous prime is 998634751189. The next prime is 998634751211. The reversal of 998634751192 is 291157436899.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 934176034 + ... + 934177102.

It is an arithmetic number, because the mean of its divisors is an integer number (14582949750).

Almost surely, 2998634751192 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 998634751192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049972382000).

998634751192 is an abundant number, since it is smaller than the sum of its proper divisors (1101310012808).

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

998634751192 is a wasteful number, since it uses less digits than its factorization.

998634751192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1834 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 64.

The spelling of 998634751192 in words is "nine hundred ninety-eight billion, six hundred thirty-four million, seven hundred fifty-one thousand, one hundred ninety-two".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 169 248 338 403 676 719 806 961 1069 1352 1438 1612 1922 2138 2876 3224 3844 4276 5239 5752 7688 8552 9347 10478 12493 13897 18694 20956 22289 24986 27794 33139 37388 41912 44578 49972 55588 66278 74776 89156 99944 111176 121511 132556 162409 178312 180661 243022 265112 289757 324818 361322 430807 486044 579514 649636 690959 722644 768611 861614 972088 1027309 1159028 1299272 1381918 1445288 1537222 1723228 2054618 2318056 2763836 3074444 3446456 3766841 4109236 5527672 5600491 6148888 7533682 8218472 8982467 9991943 11200982 13355017 15067364 17964934 19983886 22401964 23826941 26710034 30134728 35929868 39967772 44803928 47653882 53420068 71859736 79935544 95307764 106840136 116772071 129895259 173615221 190615528 233544142 259790518 309750233 347230442 467088284 519581036 619500466 694460884 738635171 934176568 1039162072 1239000932 1388921768 1477270342 2478001864 2954540684 4026753029 5909081368 8053506058 9602257223 16107012116 19204514446 32214024232 38409028892 76818057784 124829343899 249658687798 499317375596 998634751192