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46530612216 = 23331131096299
BaseRepresentation
bin101011010101011100…
…001100101111111000
311110002210120000022000
4223111130030233320
51230243314042331
633213104301000
73235033451364
oct532534145770
9143083500260
1046530612216
1118808354720
129027011760
134507060c4a
142375a602a4
151324ed30e6
hexad570cbf8

46530612216 has 128 divisors (see below), whose sum is σ = 141069600000. Its totient is φ = 14093412480.

The previous prime is 46530612211. The next prime is 46530612217. The reversal of 46530612216 is 61221603564.

46530612216 is a `hidden beast` number, since 4 + 6 + 5 + 30 + 612 + 2 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46530612211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7383835 + ... + 7390133.

It is an arithmetic number, because the mean of its divisors is an integer number (1102106250).

Almost surely, 246530612216 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 46530612216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70534800000).

46530612216 is an abundant number, since it is smaller than the sum of its proper divisors (94538987784).

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

46530612216 is a wasteful number, since it uses less digits than its factorization.

46530612216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9434 (or 9424 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 46530612216 in words is "forty-six billion, five hundred thirty million, six hundred twelve thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 3109 6218 6299 9327 12436 12598 18654 18897 24872 25196 27981 34199 37308 37794 50392 55962 56691 68398 69289 74616 75588 83943 102597 111924 113382 136796 138578 151176 167886 170073 205194 207867 223848 226764 273592 277156 307791 335772 340146 410388 415734 453528 554312 615582 623601 671544 680292 820776 831468 923373 1231164 1247202 1360584 1662936 1846746 1870803 2462328 2494404 3693492 3741606 4988808 7386984 7483212 14966424 19583591 39167182 58750773 78334364 117501546 156668728 176252319 215419501 235003092 352504638 430839002 470006184 528756957 646258503 705009276 861678004 1057513914 1292517006 1410018552 1723356008 1938775509 2115027828 2585034012 3877551018 4230055656 5170068024 5816326527 7755102036 11632653054 15510204072 23265306108 46530612216