Search a number
-
+
180668964348 = 223331467115553
BaseRepresentation
bin1010100001000010110…
…1011001110111111100
3122021100010112022211000
42220100231121313330
510430002223324343
6214555334530300
716024100600325
oct2502055316774
9567303468730
10180668964348
116a691a13a84
122b021806990
1314063408442
148a5c9b544c
154a762e9ed3
hex2a10b59dfc

180668964348 has 96 divisors (see below), whose sum is σ = 484550277120. Its totient is φ = 58155010560.

The previous prime is 180668964319. The next prime is 180668964391. The reversal of 180668964348 is 843469866081.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1505740 + ... + 1621292.

It is an arithmetic number, because the mean of its divisors is an integer number (5047398720).

Almost surely, 2180668964348 is an apocalyptic number.

180668964348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180668964348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242275138560).

180668964348 is an abundant number, since it is smaller than the sum of its proper divisors (303881312772).

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

180668964348 is a wasteful number, since it uses less digits than its factorization.

180668964348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116064 (or 116056 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 180668964348 in words is "one hundred eighty billion, six hundred sixty-eight million, nine hundred sixty-four thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 467 558 837 934 1116 1401 1674 1868 2802 3348 4203 5604 8406 12609 14477 16812 25218 28954 43431 50436 57908 86862 115553 130293 173724 231106 260586 346659 390879 462212 521172 693318 781758 1039977 1386636 1563516 2079954 3119931 3582143 4159908 6239862 7164286 10746429 12479724 14328572 21492858 32239287 42985716 53963251 64478574 96717861 107926502 128957148 161889753 193435722 215853004 323779506 386871444 485669259 647559012 971338518 1457007777 1672860781 1942677036 2914015554 3345721562 5018582343 5828031108 6691443124 10037164686 15055747029 20074329372 30111494058 45167241087 60222988116 90334482174 180668964348