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123161415456255 = 35112128535279509
BaseRepresentation
bin11100000000001111000000…
…011010110001010111111111
3121011002010010210201002100020
4130000033000122301113333
5112120334034324100010
61113535323445503223
734641055455163131
oct3400170032612777
9534063123632306
10123161415456255
1136274510239300
1211991610a11b13
1353950c1527167
14225b089853051
15e38a9ec31470
hex7003c06b15ff

123161415456255 has 48 divisors (see below), whose sum is σ = 216618126355680. Its totient is φ = 59709968398080.

The previous prime is 123161415456179. The next prime is 123161415456319. The reversal of 123161415456255 is 552654514161321.

It is not a de Polignac number, because 123161415456255 - 27 = 123161415456127 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123161415456198 and 123161415456207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20688441 + ... + 25967949.

It is an arithmetic number, because the mean of its divisors is an integer number (4512877632410).

Almost surely, 2123161415456255 is an apocalyptic number.

123161415456255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

123161415456255 is a deficient number, since it is larger than the sum of its proper divisors (93456710899425).

123161415456255 is a wasteful number, since it uses less digits than its factorization.

123161415456255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5292392 (or 5292381 counting only the distinct ones).

The product of its digits is 4320000, while the sum is 51.

The spelling of 123161415456255 in words is "one hundred twenty-three trillion, one hundred sixty-one billion, four hundred fifteen million, four hundred fifty-six thousand, two hundred fifty-five".

Divisors: 1 3 5 11 15 33 55 121 165 363 605 1815 12853 38559 64265 141383 192795 424149 706915 1555213 2120745 4665639 5279509 7776065 15838527 23328195 26397545 58074599 79192635 174223797 290372995 638820589 871118985 1916461767 3194102945 9582308835 67857529177 203572587531 339287645885 746432820947 1017862937655 2239298462841 3732164104735 8210761030417 11196492314205 24632283091251 41053805152085 123161415456255