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150327420720 = 24354799713367
BaseRepresentation
bin1000110000000000110…
…1100110011100110000
3112101000120120012122220
42030000031212130300
54430332304430340
6153020502201040
713601152664421
oct2140015463460
9471016505586
10150327420720
1158831a01194
1225174423180
131123935b229
1473c1061648
153d9c707ed0
hex2300366730

150327420720 has 160 divisors (see below), whose sum is σ = 476443219968. Its totient is φ = 39192105984.

The previous prime is 150327420647. The next prime is 150327420773. The reversal of 150327420720 is 27024723051.

150327420720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 11239477 + ... + 11252843.

Almost surely, 2150327420720 is an apocalyptic number.

150327420720 is a gapful number since it is divisible by the number (10) 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 150327420720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238221609984).

150327420720 is an abundant number, since it is smaller than the sum of its proper divisors (326115799248).

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

150327420720 is a wasteful number, since it uses less digits than its factorization.

150327420720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14427 (or 14421 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The spelling of 150327420720 in words is "one hundred fifty billion, three hundred twenty-seven million, four hundred twenty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 997 1128 1410 1880 1994 2256 2820 2991 3760 3988 4985 5640 5982 7976 9970 11280 11964 13367 14955 15952 19940 23928 26734 29910 39880 40101 46859 47856 53468 59820 66835 79760 80202 93718 106936 119640 133670 140577 160404 187436 200505 213872 234295 239280 267340 281154 320808 374872 401010 468590 534680 562308 628249 641616 702885 749744 802020 937180 1069360 1124616 1256498 1405770 1604040 1874360 1884747 2249232 2512996 2811540 3141245 3208080 3748720 3769494 5025992 5623080 6282490 7538988 9423735 10051984 11246160 12564980 13326899 15077976 18847470 25129960 26653798 30155952 37694940 39980697 50259920 53307596 66634495 75389880 79961394 106615192 133268990 150779760 159922788 199903485 213230384 266537980 319845576 399806970 533075960 626364253 639691152 799613940 1066151920 1252728506 1599227880 1879092759 2505457012 3131821265 3198455760 3758185518 5010914024 6263642530 7516371036 9395463795 10021828048 12527285060 15032742072 18790927590 25054570120 30065484144 37581855180 50109140240 75163710360 150327420720