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161010250455240 = 233251093409195513
BaseRepresentation
bin100100100111000000011110…
…110010001001100011001000
3210010002102121012011112212100
4210213000132302021203020
5132100442443104031430
61330235030554313400
745625415050361124
oct4447003662114310
9703072535145770
10161010250455240
114733707794298a
1216084a47128860
136bac28081c0a4
142ba8d1b0ac584
1513933a596a960
hex92701ec898c8

161010250455240 has 96 divisors (see below), whose sum is σ = 523762074009720. Its totient is φ = 42896783913984.

The previous prime is 161010250455179. The next prime is 161010250455281. The reversal of 161010250455240 is 42554052010161.

161010250455240 is a `hidden beast` number, since 1 + 6 + 1 + 0 + 10 + 2 + 50 + 4 + 552 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 161010061172676 + 189282564 = 12688974^2 + 13758^2 .

It is a super-2 number, since 2×1610102504552402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 161010250455195 and 161010250455204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204204277 + ... + 204991236.

Almost surely, 2161010250455240 is an apocalyptic number.

161010250455240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

161010250455240 is an abundant number, since it is smaller than the sum of its proper divisors (362751823554480).

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

161010250455240 is a wasteful number, since it uses less digits than its factorization.

161010250455240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409196623 (or 409196616 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 161010250455240 in words is "one hundred sixty-one trillion, ten billion, two hundred fifty 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 1093 2186 3279 4372 5465 6558 8744 9837 10930 13116 16395 19674 21860 26232 32790 39348 43720 49185 65580 78696 98370 131160 196740 393480 409195513 818391026 1227586539 1636782052 2045977565 2455173078 3273564104 3682759617 4091955130 4910346156 6137932695 7365519234 8183910260 9820692312 12275865390 14731038468 16367820520 18413798085 24551730780 29462076936 36827596170 49103461560 73655192340 147310384680 447250695709 894501391418 1341752087127 1789002782836 2236253478545 2683504174254 3578005565672 4025256261381 4472506957090 5367008348508 6708760435635 8050512522762 8945013914180 10734016697016 13417520871270 16101025045524 17890027828360 20126281306905 26835041742540 32202050091048 40252562613810 53670083485080 80505125227620 161010250455240