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4673985912 = 2332291032211
BaseRepresentation
bin1000101101001011…
…10101110101111000
3110001201221002022100
410112211311311320
534033020022122
62051443423400
7223553140041
oct42645656570
913051832270
104673985912
111a89385882
12aa5384b60
1359645314b
14324a798c8
151c5509aac
hex116975d78

4673985912 has 144 divisors (see below), whose sum is σ = 13286262600. Its totient is φ = 1482606720.

The previous prime is 4673985907. The next prime is 4673985929. The reversal of 4673985912 is 2195893764.

4673985912 is a `hidden beast` number, since 46 + 7 + 3 + 9 + 8 + 591 + 2 = 666.

It is a super-2 number, since 2×46739859122 = 43692288611148943488, which contains 22 as substring.

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, 22151487 + ... + 22151697.

Almost surely, 24673985912 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 4673985912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6643131300).

4673985912 is an abundant number, since it is smaller than the sum of its proper divisors (8612276688).

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

4673985912 is a wasteful number, since it uses less digits than its factorization.

4673985912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 348 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 4673985912 is about 68366.5555077920. Note that the first 4 decimals coincide. The cubic root of 4673985912 is about 1671.9725114335.

It can be divided in two parts, 46739 and 85912, that added together give a cube (132651 = 513).

The spelling of 4673985912 in words is "four billion, six hundred seventy-three million, nine hundred eighty-five thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 103 116 174 206 211 232 261 309 348 412 422 522 618 633 696 824 844 927 1044 1236 1266 1688 1854 1899 2088 2472 2532 2987 3708 3798 5064 5974 6119 7416 7596 8961 10609 11948 12238 15192 17922 18357 21218 21733 23896 24476 26883 31827 35844 36714 42436 43466 48952 53766 55071 63654 65199 71688 73428 84872 86932 95481 107532 110142 127308 130398 146856 173864 190962 195597 215064 220284 254616 260796 307661 381924 391194 440568 521592 615322 630257 763848 782388 922983 1230644 1260514 1564776 1845966 1890771 2238499 2461288 2521028 2768949 3691932 3781542 4476998 5042056 5537898 5672313 6715497 7383864 7563084 8953996 11075796 11344626 13430994 15126168 17907992 20146491 22151592 22689252 26861988 40292982 45378504 53723976 64916471 80585964 129832942 161171928 194749413 259665884 389498826 519331768 584248239 778997652 1168496478 1557995304 2336992956 4673985912