Search a number
-
+
154080511668 = 2232291093135029
BaseRepresentation
bin1000111101111111101…
…0100000011010110100
3112201201010122222120100
42033133322200122310
510011024102333133
6154441132034100
714063154511506
oct2173772403264
9481633588510
10154080511668
115a388482a46
1225a41302930
13116b6a800c5
1476596a1d76
15401be59e13
hex23dfea06b4

154080511668 has 72 divisors (see below), whose sum is σ = 403283298600. Its totient is φ = 49543393536.

The previous prime is 154080511667. The next prime is 154080511727. The reversal of 154080511668 is 866115080451.

154080511668 is a `hidden beast` number, since 1 + 54 + 0 + 80 + 511 + 6 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36034669584 + 118045842084 = 189828^2 + 343578^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154080511667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1073578 + ... + 1208606.

It is an arithmetic number, because the mean of its divisors is an integer number (5601156925).

Almost surely, 2154080511668 is an apocalyptic number.

154080511668 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 154080511668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201641649300).

154080511668 is an abundant number, since it is smaller than the sum of its proper divisors (249202786932).

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

154080511668 is a wasteful number, since it uses less digits than its factorization.

154080511668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136161 (or 136156 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 154080511668 in words is "one hundred fifty-four billion, eighty million, five hundred eleven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 1093 2186 3279 4372 6558 9837 13116 19674 31697 39348 63394 95091 126788 135029 190182 270058 285273 380364 405087 540116 570546 810174 1141092 1215261 1620348 2430522 3915841 4861044 7831682 11747523 15663364 23495046 35242569 46990092 70485138 140970276 147586697 295173394 442760091 590346788 885520182 1328280273 1771040364 2656560546 4280014213 5313121092 8560028426 12840042639 17120056852 25680085278 38520127917 51360170556 77040255834 154080511668