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206156311455240 = 233251065753735237
BaseRepresentation
bin101110110111111110000001…
…101101100110011000001000
31000000221100110210202021021200
4232313332001231212120020
5204010131111213031430
62010242522501304200
761265205403265256
oct5667760155463010
91000840423667250
10206156311455240
115a762445372663
121b156583705060
138b055c2645a13
1438ca0394c95d6
1518c78eac62460
hexbb7f81b66608

206156311455240 has 96 divisors (see below), whose sum is σ = 670070894926680. Its totient is φ = 54969856782336.

The previous prime is 206156311455233. The next prime is 206156311455307. The reversal of 206156311455240 is 42554113651602.

206156311455240 is a `hidden beast` number, since 2 + 0 + 6 + 1 + 5 + 6 + 3 + 114 + 5 + 524 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40153031836164 + 166003279619076 = 6336642^2 + 12884226^2 .

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 23 ways as a sum of consecutive naturals, for example, 23031099 + ... + 30704138.

Almost surely, 2206156311455240 is an apocalyptic number.

206156311455240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206156311455240 is an abundant number, since it is smaller than the sum of its proper divisors (463914583471440).

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

206156311455240 is a wasteful number, since it uses less digits than its factorization.

206156311455240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53745911 (or 53745904 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 206156311455240 in words is "two hundred six trillion, one hundred fifty-six billion, three hundred eleven million, four hundred fifty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 10657 21314 31971 42628 53285 63942 85256 95913 106570 127884 159855 191826 213140 255768 319710 383652 426280 479565 639420 767304 959130 1278840 1918260 3836520 53735237 107470474 161205711 214940948 268676185 322411422 429881896 483617133 537352370 644822844 806028555 967234266 1074704740 1289645688 1612057110 1934468532 2149409480 2418085665 3224114220 3868937064 4836171330 6448228440 9672342660 19344685320 572656420709 1145312841418 1717969262127 2290625682836 2863282103545 3435938524254 4581251365672 5153907786381 5726564207090 6871877048508 8589846310635 10307815572762 11453128414180 13743754097016 17179692621270 20615631145524 22906256828360 25769538931905 34359385242540 41231262291048 51539077863810 68718770485080 103078155727620 206156311455240