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150768427260 = 223511227176631
BaseRepresentation
bin1000110001101001111…
…1111010000011111100
3112102011022101122220110
42030122133322003330
54432233204133020
6153132334350020
713615116325653
oct2143237720374
9472138348813
10150768427260
1158a38934a00
122527805b310
13112a9829549
14742385c19a
153dc62bb8e0
hex231a7fa0fc

150768427260 has 144 divisors (see below), whose sum is σ = 465736190976. Its totient is φ = 36414576000.

The previous prime is 150768427241. The next prime is 150768427301. The reversal of 150768427260 is 62724867051.

It is a super-2 number, since 2×1507684272602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1929145 + ... + 2005775.

It is an arithmetic number, because the mean of its divisors is an integer number (3234279104).

Almost surely, 2150768427260 is an apocalyptic number.

150768427260 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 150768427260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232868095488).

150768427260 is an abundant number, since it is smaller than the sum of its proper divisors (314967763716).

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

150768427260 is a wasteful number, since it uses less digits than its factorization.

150768427260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76936 (or 76923 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 150768427260 in words is "one hundred fifty billion, seven hundred sixty-eight million, four hundred twenty-seven thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 271 330 363 484 542 605 660 726 813 1084 1210 1355 1452 1626 1815 2420 2710 2981 3252 3630 4065 5420 5962 7260 8130 8943 11924 14905 16260 17886 29810 32791 35772 44715 59620 65582 76631 89430 98373 131164 153262 163955 178860 196746 229893 306524 327910 383155 393492 459786 491865 655820 766310 842941 919572 983730 1149465 1532620 1685882 1967460 2298930 2528823 3371764 4214705 4597860 5057646 8429410 9272351 10115292 12644115 16858820 18544702 20767001 25288230 27817053 37089404 41534002 46361755 50576460 55634106 62301003 83068004 92723510 103835005 111268212 124602006 139085265 185447020 207670010 228437011 249204012 278170530 311505015 415340020 456874022 556341060 623010030 685311033 913748044 1142185055 1246020060 1370622066 2284370110 2512807121 2741244132 3426555165 4568740220 5025614242 6853110330 7538421363 10051228484 12564035605 13706220660 15076842726 25128071210 30153685452 37692106815 50256142420 75384213630 150768427260