Search a number
-
+
150455133050 = 252137173126961
BaseRepresentation
bin1000110000011111010…
…0110010001101111010
3112101100110212200001012
42030013310302031322
54431113003224200
6153041303353522
713604263346525
oct2140764621572
9471313780035
10150455133050
1158898000372
12251ab1528a2
1311259955661
1473d3dc7bbc
153da8a33a35
hex2307d3237a

150455133050 has 48 divisors (see below), whose sum is σ = 283520873592. Its totient is φ = 59396966400.

The previous prime is 150455133013. The next prime is 150455133053. The reversal of 150455133050 is 50331554051.

150455133050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 90168678961 + 60286454089 = 300281^2 + 245533^2 .

It is a super-2 number, since 2×1504551330502 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 150455132998 and 150455133016.

It is not an unprimeable number, because it can be changed into a prime (150455133053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1121570 + ... + 1248530.

Almost surely, 2150455133050 is an apocalyptic number.

150455133050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

150455133050 is a deficient number, since it is larger than the sum of its proper divisors (133065740542).

150455133050 is a wasteful number, since it uses less digits than its factorization.

150455133050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127283 (or 127278 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 32.

The spelling of 150455133050 in words is "one hundred fifty billion, four hundred fifty-five million, one hundred thirty-three thousand, fifty".

Divisors: 1 2 5 10 25 50 137 173 274 346 685 865 1370 1730 3425 4325 6850 8650 23701 47402 118505 126961 237010 253922 592525 634805 1185050 1269610 3174025 6348050 17393657 21964253 34787314 43928506 86968285 109821265 173936570 219642530 434841425 549106325 869682850 1098212650 3009102661 6018205322 15045513305 30091026610 75227566525 150455133050