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150011601096 = 23372576835087
BaseRepresentation
bin1000101110110101100…
…0110110000011001000
3112100012120021220120210
42023231120312003020
54424210432213341
6152525301121120
713560266366460
oct2135530660310
9470176256523
10150011601096
115868a702235
12250a66b91a0
13111b8ab1a06
147391130ba0
153d7eb21c16
hex22ed6360c8

150011601096 has 128 divisors (see below), whose sum is σ = 430986977280. Its totient is φ = 42622795776.

The previous prime is 150011601001. The next prime is 150011601097. The reversal of 150011601096 is 690106110051.

150011601096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (150011601097) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 29486665 + ... + 29491751.

It is an arithmetic number, because the mean of its divisors is an integer number (3367085760).

Almost surely, 2150011601096 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 150011601096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215493488640).

150011601096 is an abundant number, since it is smaller than the sum of its proper divisors (280975376184).

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

150011601096 is a wasteful number, since it uses less digits than its factorization.

150011601096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6043 (or 6039 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 30.

The spelling of 150011601096 in words is "one hundred fifty billion, eleven million, six hundred one thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 257 514 683 771 1028 1366 1542 1799 2049 2056 2732 3084 3598 4098 4781 5087 5397 5464 6168 7196 8196 9562 10174 10794 14343 14392 15261 16392 19124 20348 21588 28686 30522 35609 38248 40696 43176 57372 61044 71218 106827 114744 122088 142436 175531 213654 284872 351062 427308 526593 702124 854616 1053186 1228717 1307359 1404248 2106372 2457434 2614718 3474421 3686151 3922077 4212744 4914868 5229436 6948842 7372302 7844154 9151513 9829736 10423263 10458872 13897684 14744604 15688308 18303026 20846526 24320947 27454539 27795368 29489208 31376616 36606052 41693052 48641894 54909078 72962841 73212104 83386104 97283788 109818156 145925682 194567576 219636312 291851364 583702728 892926197 1785852394 2678778591 3571704788 5357557182 6250483379 7143409576 10715114364 12500966758 18751450137 21430228728 25001933516 37502900274 50003867032 75005800548 150011601096