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5509425551400 = 233452340087997
BaseRepresentation
bin101000000101100001101…
…0110100101100000101000
3201111200210100011110110000
41100023003112211200220
51210231300420121100
615414554542023000
71106020462334301
oct120130326454050
921450710143400
105509425551400
111834597103261
1274b91b577a60
1330c6c8baba94
1415092c7177a8
15984a5a90900
hex502c35a5828

5509425551400 has 120 divisors (see below), whose sum is σ = 19135051207470. Its totient is φ = 1469180142720.

The previous prime is 5509425551363. The next prime is 5509425551419. The reversal of 5509425551400 is 41555249055.

5509425551400 is a `hidden beast` number, since 5 + 5 + 0 + 94 + 2 + 5 + 551 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4703858270244 + 805567281156 = 2168838^2 + 897534^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 170027799 + ... + 170060198.

Almost surely, 25509425551400 is an apocalyptic number.

5509425551400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5509425551400 is an abundant number, since it is smaller than the sum of its proper divisors (13625625656070).

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

5509425551400 is a wasteful number, since it uses less digits than its factorization.

5509425551400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340088025 (or 340088007 counting only the distinct ones).

The product of its (nonzero) digits is 900000, while the sum is 45.

The spelling of 5509425551400 in words is "five trillion, five hundred nine billion, four hundred twenty-five million, five hundred fifty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 270 300 324 360 405 450 540 600 648 675 810 900 1080 1350 1620 1800 2025 2700 3240 4050 5400 8100 16200 340087997 680175994 1020263991 1360351988 1700439985 2040527982 2720703976 3060791973 3400879970 4081055964 5101319955 6121583946 6801759940 8162111928 8502199925 9182375919 10202639910 12243167892 13603519880 15303959865 17004399850 18364751838 20405279820 24486335784 25506599775 27547127757 30607919730 34008799700 36729503676 40810559640 45911879595 51013199550 55094255514 61215839460 68017599400 73459007352 76519799325 91823759190 102026399100 110188511028 122431678920 137735638785 153039598650 183647518380 204052798200 220377022056 229559397975 275471277570 306079197300 367295036760 459118795950 550942555140 612158394600 688678193925 918237591900 1101885110280 1377356387850 1836475183800 2754712775700 5509425551400