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150444164000 = 2553132893157
BaseRepresentation
bin1000110000011100101…
…0111100001110100000
3112101022201020101100002
42030013022330032200
54431102201222000
6153040232315132
713604101203014
oct2140712741640
9471281211302
10150444164000
1158891899139
12251a7542aa8
13112575b49b0
1473d2770544
153da7ab88d5
hex23072bc3a0

150444164000 has 96 divisors (see below), whose sum is σ = 398075395536. Its totient is φ = 55548595200.

The previous prime is 150444163949. The next prime is 150444164033. The reversal of 150444164000 is 461444051.

It can be written as a sum of positive squares in 8 ways, for example, as 3304410256 + 147139753744 = 57484^2 + 383588^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1394579 + ... + 1498578.

Almost surely, 2150444164000 is an apocalyptic number.

150444164000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150444164000 is an abundant number, since it is smaller than the sum of its proper divisors (247631231536).

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

150444164000 is a wasteful number, since it uses less digits than its factorization.

150444164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2893195 (or 2893177 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The spelling of 150444164000 in words is "one hundred fifty billion, four hundred forty-four million, one hundred sixty-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 650 800 1000 1040 1300 1625 2000 2080 2600 3250 4000 5200 6500 10400 13000 26000 52000 2893157 5786314 11572628 14465785 23145256 28931570 37611041 46290512 57863140 72328925 75222082 92581024 115726280 144657850 150444164 188055205 231452560 289315700 300888328 361644625 376110410 462905120 578631400 601776656 723289250 752220820 940276025 1157262800 1203553312 1446578500 1504441640 1880552050 2314525600 2893157000 3008883280 3761104100 4701380125 5786314000 6017766560 7522208200 9402760250 11572628000 15044416400 18805520500 30088832800 37611041000 75222082000 150444164000