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361000161126 = 23311274332
BaseRepresentation
bin1010100000011010100…
…10010100111101100110
31021111210201111021122000
411100031102110331212
521403312020124001
6433501410150130
735036630511603
oct5201522247546
91244721437560
10361000161126
1112a1101a8200
1259b6a282346
13280718513c7
14136887856aa
1595ccb25a86
hex540d494f66

361000161126 has 72 divisors (see below), whose sum is σ = 881900491080. Its totient is φ = 109379270880.

The previous prime is 361000161091. The next prime is 361000161127. The reversal of 361000161126 is 621161000163.

361000161126 is a `hidden beast` number, since 3 + 610 + 0 + 0 + 16 + 11 + 26 = 666.

It is a super-2 number, since 2×3610001611262 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 361000161126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361000161127) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48563506 + ... + 48570938.

Almost surely, 2361000161126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361000161126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440950245540).

361000161126 is an abundant number, since it is smaller than the sum of its proper divisors (520900329954).

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

361000161126 is an frugal number, since it uses more digits than its factorization.

361000161126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14899 (or 7449 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 361000161126 its reverse (621161000163), we get a palindrome (982161161289).

The spelling of 361000161126 in words is "three hundred sixty-one billion, one hundred sixty-one thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 2178 3267 6534 7433 14866 22299 44598 66897 81763 133794 163526 200691 245289 401382 490578 735867 899393 1471734 1798786 2207601 2698179 4415202 5396358 8094537 16189074 24283611 48567222 55249489 110498978 165748467 331496934 497245401 607744379 994490802 1215488758 1491736203 1823233137 2983472406 3646466274 5469699411 6685188169 10939398822 13370376338 16409098233 20055564507 32818196466 40111129014 60166693521 120333387042 180500080563 361000161126