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150254327268 = 22333767355871
BaseRepresentation
bin1000101111101111011…
…0110001010111100100
3112100211111000200022000
42023323312301113210
54430210101433033
6153005331405300
713566304465113
oct2137366612744
9470744020260
10150254327268
11587a4717a81
1225153a53830
1311227178676
1473b5475c7a
153d960baa13
hex22fbdb15e4

150254327268 has 96 divisors (see below), whose sum is σ = 400678225920. Its totient is φ = 48657853440.

The previous prime is 150254327257. The next prime is 150254327287. The reversal of 150254327268 is 862723452051.

150254327268 is a `hidden beast` number, since 1 + 50 + 254 + 327 + 26 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2661373 + ... + 2717243.

It is an arithmetic number, because the mean of its divisors is an integer number (4173731520).

Almost surely, 2150254327268 is an apocalyptic number.

150254327268 is a gapful number since it is divisible by the number (18) 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 150254327268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200339112960).

150254327268 is an abundant number, since it is smaller than the sum of its proper divisors (250423898652).

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

150254327268 is a wasteful number, since it uses less digits than its factorization.

150254327268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56594 (or 56586 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 150254327268 in words is "one hundred fifty billion, two hundred fifty-four million, three hundred twenty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 673 999 1332 1346 1998 2019 2692 3996 4038 6057 8076 12114 18171 24228 24901 36342 49802 55871 72684 74703 99604 111742 149406 167613 223484 224109 298812 335226 448218 502839 670452 672327 896436 1005678 1344654 1508517 2011356 2067227 2689308 3017034 4134454 6034068 6201681 8268908 12403362 18605043 24806724 37210086 37601183 55815129 74420172 75202366 111630258 112803549 150404732 223260516 225607098 338410647 451214196 676821294 1015231941 1353642588 1391243771 2030463882 2782487542 4060927764 4173731313 5564975084 8347462626 12521193939 16694925252 25042387878 37563581817 50084775756 75127163634 150254327268