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168143061984 = 25317239431083
BaseRepresentation
bin1001110010011000011…
…0111000001111100000
3121002000011211120001020
42130212012320033200
510223324110440414
6205124401205440
715101512305462
oct2344606701740
9532004746036
10168143061984
1165344414157
1228706930880
1312b1831c9b1
1481d11bc132
1545917e67a9
hex27261b83e0

168143061984 has 96 divisors (see below), whose sum is σ = 469295285760. Its totient is φ = 52529928192.

The previous prime is 168143061949. The next prime is 168143062037. The reversal of 168143061984 is 489160341861.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174507 + ... + 605589.

It is an arithmetic number, because the mean of its divisors is an integer number (4888492560).

Almost surely, 2168143061984 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 168143061984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234647642880).

168143061984 is an abundant number, since it is smaller than the sum of its proper divisors (301152223776).

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

168143061984 is a wasteful number, since it uses less digits than its factorization.

168143061984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431352 (or 431344 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 168143061984 in words is "one hundred sixty-eight billion, one hundred forty-three million, sixty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 239 272 408 478 544 717 816 956 1434 1632 1912 2868 3824 4063 5736 7648 8126 11472 12189 16252 22944 24378 32504 48756 65008 97512 130016 195024 390048 431083 862166 1293249 1724332 2586498 3448664 5172996 6897328 7328411 10345992 13794656 14656822 20691984 21985233 29313644 41383968 43970466 58627288 87940932 103028837 117254576 175881864 206057674 234509152 309086511 351763728 412115348 618173022 703527456 824230696 1236346044 1648461392 1751490229 2472692088 3296922784 3502980458 4945384176 5254470687 7005960916 9890768352 10508941374 14011921832 21017882748 28023843664 42035765496 56047687328 84071530992 168143061984