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46871293568 = 271146172211
BaseRepresentation
bin101011101001101111…
…110010111010000000
311110222112121102020212
4223221233302322000
51231443022343233
633310554253252
73246341264441
oct535157627200
9143875542225
1046871293568
1118972694660
129101127228
13455c803748
1423a8dc32c8
151344d7aa48
hexae9bf2e80

46871293568 has 64 divisors (see below), whose sum is σ = 102087548640. Its totient is φ = 21258624000.

The previous prime is 46871293549. The next prime is 46871293571. The reversal of 46871293568 is 86539217864.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 612983 + ... + 685193.

Almost surely, 246871293568 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 46871293568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51043774320).

46871293568 is an abundant number, since it is smaller than the sum of its proper divisors (55216255072).

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

46871293568 is a wasteful number, since it uses less digits than its factorization.

46871293568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72697 (or 72685 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 59.

The spelling of 46871293568 in words is "forty-six billion, eight hundred seventy-one million, two hundred ninety-three thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 461 704 922 1408 1844 3688 5071 7376 10142 14752 20284 29504 40568 59008 72211 81136 144422 162272 288844 324544 577688 649088 794321 1155376 1588642 2310752 3177284 4621504 6354568 9243008 12709136 25418272 33289271 50836544 66578542 101673088 133157084 266314168 366181981 532628336 732363962 1065256672 1464727924 2130513344 2929455848 4261026688 5858911696 11717823392 23435646784 46871293568