Search a number
-
+
122808643384 = 237127155311119
BaseRepresentation
bin111001001011111110…
…1110010111100111000
3102201222202010110220111
41302113331302330320
54003003003042014
6132230103234104
711605212150040
oct1622775627470
9381882113814
10122808643384
11480a03064a9
121b974448934
13b77204c82b
145d3037a720
1532db84b2c4
hex1c97f72f38

122808643384 has 64 divisors (see below), whose sum is σ = 265428172800. Its totient is φ = 52179531264.

The previous prime is 122808643381. The next prime is 122808643393. The reversal of 122808643384 is 483346808221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122808643381) 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 15 ways as a sum of consecutive naturals, for example, 11039377 + ... + 11050495.

It is an arithmetic number, because the mean of its divisors is an integer number (4147315200).

Almost surely, 2122808643384 is an apocalyptic number.

122808643384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122808643384 is an abundant number, since it is smaller than the sum of its proper divisors (142619529416).

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

122808643384 is a wasteful number, since it uses less digits than its factorization.

122808643384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12812 (or 12808 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 49.

The spelling of 122808643384 in words is "one hundred twenty-two billion, eight hundred eight million, six hundred forty-three thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 56 127 254 508 889 1016 1553 1778 3106 3556 6212 7112 10871 11119 12424 21742 22238 43484 44476 77833 86968 88952 155666 197231 311332 394462 622664 788924 1380617 1412113 1577848 2761234 2824226 5522468 5648452 9884791 11044936 11296904 17267807 19769582 34535614 39539164 69071228 79078328 120874649 138142456 241749298 483498596 966997192 2193011489 4386022978 8772045956 15351080423 17544091912 30702160846 61404321692 122808643384