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4268830817381 = 1322271016310949
BaseRepresentation
bin111110000111101010001…
…001001111110001100101
3120010002121011022012021012
4332013222021033301211
51024420031142124011
613025023535232005
7620261415153104
oct76075211176145
916102534265235
104268830817381
1113a6445787709
1258b3b2978605
1324c71a26ab00
1410a880a4a03b
1576097090a8b
hex3e1ea24fc65

4268830817381 has 24 divisors (see below), whose sum is σ = 4643705959200. Its totient is φ = 3922356075456.

The previous prime is 4268830817369. The next prime is 4268830817467. The reversal of 4268830817381 is 1837180388624.

It is not a de Polignac number, because 4268830817381 - 222 = 4268826623077 is a prime.

It is a super-3 number, since 3×42688308173813 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4268830817381.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4268890817381) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 389877695 + ... + 389888643.

It is an arithmetic number, because the mean of its divisors is an integer number (193487748300).

Almost surely, 24268830817381 is an apocalyptic number.

It is an amenable number.

4268830817381 is a deficient number, since it is larger than the sum of its proper divisors (374875141819).

4268830817381 is a wasteful number, since it uses less digits than its factorization.

4268830817381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21365 (or 21352 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 59.

The spelling of 4268830817381 in words is "four trillion, two hundred sixty-eight billion, eight hundred thirty million, eight hundred seventeen thousand, three hundred eighty-one".

Divisors: 1 13 169 227 2951 10163 10949 38363 132119 142337 1717547 1850381 2307001 2485423 29991013 32310499 111274687 389883169 420036487 1446570931 18805422103 25259353949 328371601337 4268830817381