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46321895412 = 2235134098963
BaseRepresentation
bin101011001001000000…
…000000011111110100
311102120020211002200000
4223021000000133310
51224331401123122
633140250551300
73226620420522
oct531100003764
9142506732600
1046321895412
11187105586a1
128b89138530
1344a2a44190
14235604d312
151311a060ac
hexac90007f4

46321895412 has 144 divisors (see below), whose sum is σ = 131103161280. Its totient is φ = 14216456448.

The previous prime is 46321895381. The next prime is 46321895413. The reversal of 46321895412 is 21459812364.

46321895412 is a `hidden beast` number, since 4 + 6 + 3 + 21 + 89 + 541 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46321895413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5163643 + ... + 5172605.

It is an arithmetic number, because the mean of its divisors is an integer number (910438620).

Almost surely, 246321895412 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 46321895412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65551580640).

46321895412 is an abundant number, since it is smaller than the sum of its proper divisors (84781265868).

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

46321895412 is a wasteful number, since it uses less digits than its factorization.

46321895412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9404 (or 9390 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 46321895412 in words is "forty-six billion, three hundred twenty-one million, eight hundred ninety-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 409 468 486 702 818 972 1053 1227 1404 1636 2106 2454 3159 3681 4212 4908 5317 6318 7362 8963 10634 11043 12636 14724 15951 17926 21268 22086 26889 31902 33129 35852 44172 47853 53778 63804 66258 80667 95706 99387 107556 116519 132516 143559 161334 191412 198774 233038 242001 287118 322668 349557 397548 430677 466076 484002 574236 699114 726003 861354 968004 1048671 1292031 1398228 1452006 1722708 2097342 2178009 2584062 2904012 3146013 3665867 4194684 4356018 5168124 6292026 7331734 8712036 9438039 10997601 12584052 14663468 18876078 21995202 28314117 32992803 37752156 43990404 47656271 56628234 65985606 95312542 98978409 113256468 131971212 142968813 190625084 197956818 285937626 296935227 395913636 428906439 571875252 593870454 857812878 890805681 1187740908 1286719317 1715625756 1781611362 2573438634 3563222724 3860157951 5146877268 7720315902 11580473853 15440631804 23160947706 46321895412