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150483927492 = 223329130136931
BaseRepresentation
bin1000110000100110001…
…0101000000111000100
3112101102111001120121000
42030021202220013010
54431142341134432
6153044212453300
713605063164403
oct2141142500704
9471374046530
10150483927492
1158902288028
12251b891a230
13112628c79a2
1473d7b6163a
153dab32057c
hex23098a81c4

150483927492 has 96 divisors (see below), whose sum is σ = 403917897600. Its totient is φ = 48393072000.

The previous prime is 150483927457. The next prime is 150483927493. The reversal of 150483927492 is 294729384051.

150483927492 is a `hidden beast` number, since 1 + 5 + 0 + 483 + 9 + 2 + 74 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (150483927493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4056267 + ... + 4093197.

It is an arithmetic number, because the mean of its divisors is an integer number (4207478100).

Almost surely, 2150483927492 is an apocalyptic number.

150483927492 is a gapful number since it is divisible by the number (12) 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 150483927492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201958948800).

150483927492 is an abundant number, since it is smaller than the sum of its proper divisors (253433970108).

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

150483927492 is a wasteful number, since it uses less digits than its factorization.

150483927492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38274 (or 38266 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 150483927492 in words is "one hundred fifty billion, four hundred eighty-three million, nine hundred twenty-seven thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1301 1566 2602 3132 3903 5204 7806 11709 15612 23418 35127 36931 37729 46836 70254 73862 75458 110793 113187 140508 147724 150916 221586 226374 332379 339561 443172 452748 664758 679122 997137 1018683 1070999 1329516 1358244 1994274 2037366 2141998 3212997 3988548 4074732 4283996 6425994 9638991 12851988 19277982 28916973 38555964 48047231 57833946 96094462 115667892 144141693 192188924 288283386 432425079 576566772 864850158 1297275237 1393369699 1729700316 2594550474 2786739398 4180109097 5189100948 5573478796 8360218194 12540327291 16720436388 25080654582 37620981873 50161309164 75241963746 150483927492