Search a number
-
+
150064450350012 = 223311126316877399
BaseRepresentation
bin100010000111101110011010…
…010000011010101110111100
3201200100000120120011210201000
4202013232122100122232330
5124132123443242200022
61251054353510450300
743415540654532432
oct4207563220325674
9650300516153630
10150064450350012
11438a6a81061140
12149b75b4963990
13659702b3078b3
14290b22dd72d52
1512537c27146ac
hex887b9a41abbc

150064450350012 has 48 divisors (see below), whose sum is σ = 424424708064000. Its totient is φ = 45474075863280.

The previous prime is 150064450349887. The next prime is 150064450350013. The reversal of 150064450350012 is 210053054460051.

150064450350012 is a `hidden beast` number, since 1 + 5 + 0 + 0 + 644 + 5 + 0 + 3 + 5 + 0 + 0 + 1 + 2 = 666.

150064450350012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150064450350013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63158437512 + ... + 63158439887.

It is an arithmetic number, because the mean of its divisors is an integer number (8842181418000).

Almost surely, 2150064450350012 is an apocalyptic number.

150064450350012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

150064450350012 is an abundant number, since it is smaller than the sum of its proper divisors (274360257713988).

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

150064450350012 is a wasteful number, since it uses less digits than its factorization.

150064450350012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126316877423 (or 126316877415 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 150064450350012 in words is "one hundred fifty trillion, sixty-four billion, four hundred fifty million, three hundred fifty thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 126316877399 252633754798 378950632197 505267509596 757901264394 1136851896591 1389485651389 1515802528788 2273703793182 2778971302778 3410555689773 4168456954167 4547407586364 5557942605556 6821111379546 8336913908334 12505370862501 13642222759092 16673827816668 25010741725002 37516112587503 50021483450004 75032225175006 150064450350012