Search a number
-
+
150533500304 = 241147127143291
BaseRepresentation
bin1000110000110001111…
…1101110110110010000
3112101112221100010201002
42030030133232312100
54431243034002204
6153053143201132
713606234432505
oct2141437566620
9471487303632
10150533500304
11589282668a0
12252114461a8
131126cc63805
1474005874ac
153db086391e
hex230c7eed90

150533500304 has 80 divisors (see below), whose sum is σ = 327503609856. Its totient is φ = 66440707200.

The previous prime is 150533500303. The next prime is 150533500321. The reversal of 150533500304 is 403005335051.

150533500304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (150533500303) 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 15 ways as a sum of consecutive naturals, for example, 978899 + ... + 1122189.

Almost surely, 2150533500304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150533500304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163751804928).

150533500304 is an abundant number, since it is smaller than the sum of its proper divisors (176970109552).

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

150533500304 is a wasteful number, since it uses less digits than its factorization.

150533500304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143484 (or 143478 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 29.

Adding to 150533500304 its reverse (403005335051), we get a palindrome (553538835355).

The spelling of 150533500304 in words is "one hundred fifty billion, five hundred thirty-three million, five hundred thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 127 176 188 254 376 508 517 752 1016 1034 1397 2032 2068 2794 4136 5588 5969 8272 11176 11938 22352 23876 47752 65659 95504 131318 143291 262636 286582 525272 573164 1050544 1146328 1576201 2292656 3152402 6304804 6734677 12609608 13469354 18197957 25219216 26938708 36395914 53877416 72791828 74081447 107754832 145583656 148162894 200177527 291167312 296325788 400355054 592651576 800710108 855303979 1185303152 1601420216 1710607958 3202840432 3421215916 6842431832 9408343769 13684863664 18816687538 37633375076 75266750152 150533500304