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103477393440 = 2532571859301
BaseRepresentation
bin110000001011110111…
…0111011100000100000
3100220002111222020021100
41200113232323200200
53143410203042230
6115311543354400
710322160221541
oct1402756734040
9326074866240
10103477393440
113a980322283
121807a452a00
1399b10923b5
145018c164c8
152a5967d660
hex1817bbb820

103477393440 has 72 divisors (see below), whose sum is σ = 353116610028. Its totient is φ = 27593971200.

The previous prime is 103477393429. The next prime is 103477393441. The reversal of 103477393440 is 44393774301.

103477393440 is a `hidden beast` number, since 10 + 3 + 47 + 73 + 93 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 94718679696 + 8758713744 = 307764^2 + 93588^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (103477393441) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 35928211 + ... + 35931090.

Almost surely, 2103477393440 is an apocalyptic number.

103477393440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103477393440 is an abundant number, since it is smaller than the sum of its proper divisors (249639216588).

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

103477393440 is a wasteful number, since it uses less digits than its factorization.

103477393440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71859322 (or 71859311 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 103477393440 in words is "one hundred three billion, four hundred seventy-seven million, three hundred ninety-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 71859301 143718602 215577903 287437204 359296505 431155806 574874408 646733709 718593010 862311612 1077889515 1149748816 1293467418 1437186020 1724623224 2155779030 2299497632 2586934836 2874372040 3233668545 3449246448 4311558060 5173869672 5748744080 6467337090 6898492896 8623116120 10347739344 11497488160 12934674180 17246232240 20695478688 25869348360 34492464480 51738696720 103477393440