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361061071014 = 23725331174507
BaseRepresentation
bin1010100000100001110…
…10101011100010100110
31021111221222002211021210
411100100322223202212
521403423113233024
6433511423452250
735041300315500
oct5202072534246
91244858084253
10361061071014
1112a14161a756
1259b86757086
1328081359567
14136928bcd70
1595d3158129
hex5410eab8a6

361061071014 has 96 divisors (see below), whose sum is σ = 858632576256. Its totient is φ = 100887084480.

The previous prime is 361061070967. The next prime is 361061071039. The reversal of 361061071014 is 410170160163.

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 47 ways as a sum of consecutive naturals, for example, 4808749 + ... + 4883255.

It is an arithmetic number, because the mean of its divisors is an integer number (8944089336).

Almost surely, 2361061071014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361061071014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429316288128).

361061071014 is an abundant number, since it is smaller than the sum of its proper divisors (497571505242).

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

361061071014 is a wasteful number, since it uses less digits than its factorization.

361061071014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74890 (or 74883 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The spelling of 361061071014 in words is "three hundred sixty-one billion, sixty-one million, seventy-one thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 53 98 106 147 159 294 311 318 371 622 742 933 1113 1866 2177 2226 2597 4354 5194 6531 7791 13062 15239 15582 16483 30478 32966 45717 49449 74507 91434 98898 115381 149014 223521 230762 346143 447042 521549 692286 807667 1043098 1564647 1615334 2423001 3129294 3650843 3948871 4846002 7301686 7897742 10952529 11846613 21905058 23171677 23693226 27642097 46343354 55284194 69515031 82926291 139030062 162201739 165852582 193494679 324403478 386989358 486605217 580484037 973210434 1135412173 1160968074 1228098881 2270824346 2456197762 3406236519 3684296643 6812473038 7368593286 8596692167 17193384334 25790076501 51580153002 60176845169 120353690338 180530535507 361061071014