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161413636668 = 2231710960711959
BaseRepresentation
bin1001011001010100000…
…0001010001000111100
3120102122012020022221120
42112111000022020330
510121033342333133
6202052530230540
714442660162624
oct2262500121074
9512565208846
10161413636668
1162500876329
1227349125450
13122b50b131b
147b53575884
1542eab27ab3
hex259500a23c

161413636668 has 96 divisors (see below), whose sum is σ = 403141939200. Its totient is φ = 50088139776.

The previous prime is 161413636667. The next prime is 161413636687. The reversal of 161413636668 is 866636314161.

It is a super-2 number, since 2×1614136366682 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 161413636668.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161413636667) 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, 13491273 + ... + 13503231.

It is an arithmetic number, because the mean of its divisors is an integer number (4199395200).

Almost surely, 2161413636668 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 161413636668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201570969600).

161413636668 is an abundant number, since it is smaller than the sum of its proper divisors (241728302532).

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

161413636668 is a wasteful number, since it uses less digits than its factorization.

161413636668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12699 (or 12697 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 51.

The spelling of 161413636668 in words is "one hundred sixty-one billion, four hundred thirteen million, six hundred thirty-six thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 109 204 218 327 436 607 654 1214 1308 1821 1853 2428 3642 3706 5559 7284 7412 10319 11118 11959 20638 22236 23918 30957 35877 41276 47836 61914 66163 71754 123828 132326 143508 198489 203303 264652 396978 406606 609909 793956 813212 1124771 1219818 1303531 2249542 2439636 2607062 3374313 3910593 4499084 5214124 6748626 7259113 7821186 13497252 14518226 15642372 21777339 22160027 29036452 43554678 44320054 66480081 87109356 88640108 123404921 132960162 246809842 265920324 370214763 493619684 740429526 791243317 1480859052 1582486634 2373729951 3164973268 4747459902 9494919804 13451136389 26902272778 40353409167 53804545556 80706818334 161413636668