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148081927200 = 25352173629459
BaseRepresentation
bin1000100111101001011…
…1101110010000100000
3112011020002021022122020
42021322113232100200
54411232433132300
6152010005341440
713461415420164
oct2117227562040
9464202238566
10148081927200
115788a429719
1224848407880
1310c6c08b73c
14724ab40ca4
153cba5018a0
hex227a5ee420

148081927200 has 144 divisors (see below), whose sum is σ = 510360147360. Its totient is φ = 37165649920.

The previous prime is 148081927187. The next prime is 148081927261. The reversal of 148081927200 is 2729180841.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1773930 + ... + 1855529.

It is an arithmetic number, because the mean of its divisors is an integer number (3544167690).

Almost surely, 2148081927200 is an apocalyptic number.

148081927200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148081927200 is an abundant number, since it is smaller than the sum of its proper divisors (362278220160).

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

148081927200 is a wasteful number, since it uses less digits than its factorization.

148081927200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629499 (or 3629486 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 148081927200 in words is "one hundred forty-eight billion, eighty-one million, nine hundred twenty-seven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 68 75 80 85 96 100 102 120 136 150 160 170 200 204 240 255 272 300 340 400 408 425 480 510 544 600 680 800 816 850 1020 1200 1275 1360 1632 1700 2040 2400 2550 2720 3400 4080 5100 6800 8160 10200 13600 20400 40800 3629459 7258918 10888377 14517836 18147295 21776754 29035672 36294590 43553508 54441885 58071344 61700803 72589180 87107016 90736475 108883770 116142688 123401606 145178360 174214032 181472950 185102409 217767540 246803212 272209425 290356720 308504015 348428064 362945900 370204818 435535080 493606424 544418850 580713440 617008030 725891800 740409636 871070160 925512045 987212848 1088837700 1234016060 1451783600 1480819272 1542520075 1742140320 1851024090 1974425696 2177675400 2468032120 2903567200 2961638544 3085040150 3702048180 4355350800 4627560225 4936064240 5923277088 6170080300 7404096360 8710701600 9255120450 9872128480 12340160600 14808192720 18510240900 24680321200 29616385440 37020481800 49360642400 74040963600 148081927200