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1345064020200 = 233252747257789
BaseRepresentation
bin10011100100101100000…
…100000010100011101000
311202120211211020212111100
4103210230010002203220
5134014142342121300
62505525222001400
7166114640346435
oct23445404024350
94676754225440
101345064020200
1147949063459a
12198823276260
1399aba362354
144915c520b8c
1524ec52ac700
hex1392c1028e8

1345064020200 has 72 divisors (see below), whose sum is σ = 4517173340550. Its totient is φ = 358683738240.

The previous prime is 1345064020087. The next prime is 1345064020229. The reversal of 1345064020200 is 20204605431.

1345064020200 is a `hidden beast` number, since 1 + 3 + 4 + 50 + 6 + 402 + 0 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 528148120644 + 816915899556 = 726738^2 + 903834^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 373627095 + ... + 373630694.

Almost surely, 21345064020200 is an apocalyptic number.

1345064020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1345064020200 is an abundant number, since it is smaller than the sum of its proper divisors (3172109320350).

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

1345064020200 is a wasteful number, since it uses less digits than its factorization.

1345064020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747257811 (or 747257799 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 1345064020200 its reverse (20204605431), we get a palindrome (1365268625631).

The spelling of 1345064020200 in words is "one trillion, three hundred forty-five billion, sixty-four million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 747257789 1494515578 2241773367 2989031156 3736288945 4483546734 5978062312 6725320101 7472577890 8967093468 11208866835 13450640202 14945155780 17934186936 18681444725 22417733670 26901280404 29890311560 33626600505 37362889450 44835467340 53802560808 56044334175 67253201010 74725778900 89670934680 112088668350 134506402020 149451557800 168133002525 224177336700 269012804040 336266005050 448354673400 672532010100 1345064020200