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21557172141 = 335359255329
BaseRepresentation
bin10100000100111010…
…000101011110101101
32001122100121210212000
4110010322011132231
5323122114002031
613523033002513
71362130640241
oct240472053655
961570553760
1021557172141
11916250954a
124217553439
13205719697b
14108702c421
1586280a3e6
hex504e857ad

21557172141 has 32 divisors (see below), whose sum is σ = 33090768000. Its totient is φ = 13861246464.

The previous prime is 21557172137. The next prime is 21557172149. The reversal of 21557172141 is 14127175512.

It is a happy number.

21557172141 is a `hidden beast` number, since 2 + 1 + 5 + 571 + 72 + 14 + 1 = 666.

It is not a de Polignac number, because 21557172141 - 22 = 21557172137 is a prime.

It is a super-3 number, since 3×215571721413 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21557172096 and 21557172105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21557172149) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 43236 + ... + 212093.

It is an arithmetic number, because the mean of its divisors is an integer number (1034086500).

Almost surely, 221557172141 is an apocalyptic number.

It is an amenable number.

21557172141 is a deficient number, since it is larger than the sum of its proper divisors (11533595859).

21557172141 is a wasteful number, since it uses less digits than its factorization.

21557172141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255450 (or 255444 counting only the distinct ones).

The product of its digits is 19600, while the sum is 36.

The spelling of 21557172141 in words is "twenty-one billion, five hundred fifty-seven million, one hundred seventy-two thousand, one hundred forty-one".

Divisors: 1 3 9 27 53 59 159 177 477 531 1431 1593 3127 9381 28143 84429 255329 765987 2297961 6893883 13532437 15064411 40597311 45193233 121791933 135579699 365375799 406739097 798413783 2395241349 7185724047 21557172141