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10182172155056 = 2411125474610923
BaseRepresentation
bin1001010000101011100011…
…0000010001110010110000
31100001101222002021120122022
42110022320300101302300
52313311042032430211
633353343022331012
72100431501202056
oct224127060216260
940041862246568
1010182172155056
113276264807470
121185458a29a68
1358b236b02305
14272b695d81d6
15129cdd1b7bdb
hex942b8c11cb0

10182172155056 has 40 divisors (see below), whose sum is σ = 21523129258944. Its totient is φ = 4627890192960.

The previous prime is 10182172155049. The next prime is 10182172155119. The reversal of 10182172155056 is 65055127128101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 10182172154998 and 10182172155016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97190 + ... + 4513733.

Almost surely, 210182172155056 is an apocalyptic number.

10182172155056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10182172155056 is an abundant number, since it is smaller than the sum of its proper divisors (11340957103888).

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

10182172155056 is a wasteful number, since it uses less digits than its factorization.

10182172155056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4623489 (or 4623483 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 44.

The spelling of 10182172155056 in words is "ten trillion, one hundred eighty-two billion, one hundred seventy-two million, one hundred fifty-five thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 176 12547 25094 50188 100376 138017 200752 276034 552068 1104136 2208272 4610923 9221846 18443692 36887384 50720153 73774768 101440306 202880612 405761224 811522448 57853250881 115706501762 231413003524 462826007048 636385759691 925652014096 1272771519382 2545543038764 5091086077528 10182172155056