Search a number
-
+
150866193312 = 25322918063481
BaseRepresentation
bin1000110010000001010…
…0110110101110100000
3112102102010100200201100
42030200110312232200
54432433221141222
6153150150034400
713620414325122
oct2144024665640
9472363320640
10150866193312
1158a8903aa9a
12252a4948a00
13112c3b6a293
14743282b212
153dceb7e4ac
hex2320536ba0

150866193312 has 72 divisors (see below), whose sum is σ = 443819752740. Its totient is φ = 48554634240.

The previous prime is 150866193311. The next prime is 150866193349. The reversal of 150866193312 is 213391668051.

150866193312 is a `hidden beast` number, since 15 + 0 + 8 + 6 + 619 + 3 + 3 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 150540896016 + 325297296 = 387996^2 + 18036^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (150866193311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9023389 + ... + 9040092.

Almost surely, 2150866193312 is an apocalyptic number.

150866193312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

150866193312 is an abundant number, since it is smaller than the sum of its proper divisors (292953559428).

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

150866193312 is a wasteful number, since it uses less digits than its factorization.

150866193312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18063526 (or 18063515 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 150866193312 in words is "one hundred fifty billion, eight hundred sixty-six million, one hundred ninety-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 18063481 36126962 54190443 72253924 108380886 144507848 162571329 216761772 289015696 325142658 433523544 523840949 578031392 650285316 867047088 1047681898 1300570632 1571522847 1734094176 2095363796 2601141264 3143045694 4190727592 4714568541 5202282528 6286091388 8381455184 9429137082 12572182776 16762910368 18858274164 25144365552 37716548328 50288731104 75433096656 150866193312