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30675316464 = 24331317331573
BaseRepresentation
bin11100100100011001…
…000010111011110000
32221011211000112102000
4130210121002323300
51000310340111324
622031514254000
72134106613342
oct344431027360
987154015360
1030675316464
1112011464311
125b41127300
132b7b271340
1416addd9292
15be80729c9
hex724642ef0

30675316464 has 160 divisors (see below), whose sum is σ = 95373687360. Its totient is φ = 9383703552.

The previous prime is 30675316433. The next prime is 30675316489. The reversal of 30675316464 is 46461357603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 955782 + ... + 987354.

It is an arithmetic number, because the mean of its divisors is an integer number (596085546).

Almost surely, 230675316464 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 30675316464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47686843680).

30675316464 is an abundant number, since it is smaller than the sum of its proper divisors (64698370896).

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

30675316464 is a wasteful number, since it uses less digits than its factorization.

30675316464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31776 (or 31764 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 30675316464 in words is "thirty billion, six hundred seventy-five million, three hundred sixteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 173 208 216 234 312 346 351 432 468 519 624 692 702 936 1038 1384 1404 1557 1872 2076 2249 2768 2808 3114 4152 4498 4671 5616 6228 6747 8304 8996 9342 12456 13494 17992 18684 20241 24912 26988 31573 35984 37368 40482 53976 60723 63146 74736 80964 94719 107952 121446 126292 161928 189438 242892 252584 284157 323856 378876 410449 485784 505168 568314 757752 820898 852471 971568 1136628 1231347 1515504 1641796 1704942 2273256 2462694 3283592 3409884 3694041 4546512 4925388 5462129 6567184 6819768 7388082 9850776 10924258 11082123 13639536 14776164 16386387 19701552 21848516 22164246 29552328 32772774 43697032 44328492 49159161 59104656 65545548 71007677 87394064 88656984 98318322 131091096 142015354 147477483 177313968 196636644 213023031 262182192 284030708 294954966 393273288 426046062 568061416 589909932 639069093 786546576 852092124 1136122832 1179819864 1278138186 1704184248 1917207279 2359639728 2556276372 3408368496 3834414558 5112552744 7668829116 10225105488 15337658232 30675316464