Search a number
-
+
122305936928 = 2573391161017
BaseRepresentation
bin111000111101000000…
…0000111111000100000
3102200200201012100021212
41301322000013320200
54000440304440203
6132104144405252
711556566211410
oct1617200077040
9380621170255
10122305936928
114796257071a
121b854016828
13b6c1b5a8a6
145cc36bc640
1532ac64b1d8
hex1c7a007e20

122305936928 has 48 divisors (see below), whose sum is σ = 275271220224. Its totient is φ = 52401047040.

The previous prime is 122305936927. The next prime is 122305936937. The reversal of 122305936928 is 829639503221.

It is not an unprimeable number, because it can be changed into a prime (122305936927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 679076 + ... + 840092.

It is an arithmetic number, because the mean of its divisors is an integer number (5734817088).

Almost surely, 2122305936928 is an apocalyptic number.

It is an amenable number.

122305936928 is an abundant number, since it is smaller than the sum of its proper divisors (152965283296).

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

122305936928 is a wasteful number, since it uses less digits than its factorization.

122305936928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164425 (or 164417 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 50.

The spelling of 122305936928 in words is "one hundred twenty-two billion, three hundred five million, nine hundred thirty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 3391 6782 13564 23737 27128 47474 54256 94948 108512 161017 189896 322034 379792 644068 759584 1127119 1288136 2254238 2576272 4508476 5152544 9016952 18033904 36067808 546008647 1092017294 2184034588 3822060529 4368069176 7644121058 8736138352 15288242116 17472276704 30576484232 61152968464 122305936928