Search a number
-
+
150332053054368 = 25312712330384929
BaseRepresentation
bin100010001011100111101000…
…100111101110001110100000
3201201021121022020212200200110
4202023213220213232032200
5124201020021040214433
61251421331453251320
743444063263145113
oct4213475047561640
9651247266780613
10150332053054368
114399a513889739
1214a3b438493b40
1365b63371c1683
14291a17851257a
15125a735aa9963
hex88b9e89ee3a0

150332053054368 has 48 divisors (see below), whose sum is σ = 397728896302080. Its totient is φ = 49716112029696.

The previous prime is 150332053054367. The next prime is 150332053054399. The reversal of 150332053054368 is 863450350233051.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (150332053054367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6165180273 + ... + 6165204656.

It is an arithmetic number, because the mean of its divisors is an integer number (8286018672960).

Almost surely, 2150332053054368 is an apocalyptic number.

It is an amenable number.

150332053054368 is an abundant number, since it is smaller than the sum of its proper divisors (247396843247712).

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

150332053054368 is a wasteful number, since it uses less digits than its factorization.

150332053054368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12330385069 (or 12330385061 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 48.

The spelling of 150332053054368 in words is "one hundred fifty trillion, three hundred thirty-two billion, fifty-three million, fifty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 2032 3048 4064 6096 12192 12330384929 24660769858 36991154787 49321539716 73982309574 98643079432 147964619148 197286158864 295929238296 394572317728 591858476592 1183716953184 1565958885983 3131917771966 4697876657949 6263835543932 9395753315898 12527671087864 18791506631796 25055342175728 37583013263592 50110684351456 75166026527184 150332053054368