Search a number
-
+
12935714364 = 2233295970003
BaseRepresentation
bin11000000110000011…
…10101011000111100
31020101111211101011000
430003001311120330
5202443020324424
65535333130300
7635362520646
oct140301653074
936344741130
1012935714364
115538967731
122610189990
1312b1c84171
148a9dd3896
1550a9a43c9
hex30307563c

12935714364 has 96 divisors (see below), whose sum is σ = 35282016000. Its totient is φ = 4092596928.

The previous prime is 12935714329. The next prime is 12935714369. The reversal of 12935714364 is 46341753921.

12935714364 is a `hidden beast` number, since 12 + 9 + 3 + 571 + 4 + 3 + 64 = 666.

It is a super-2 number, since 2×129357143642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12935714369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149787 + ... + 219789.

It is an arithmetic number, because the mean of its divisors is an integer number (367521000).

Almost surely, 212935714364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12935714364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17641008000).

12935714364 is an abundant number, since it is smaller than the sum of its proper divisors (22346301636).

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

12935714364 is a wasteful number, since it uses less digits than its factorization.

12935714364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70104 (or 70096 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 12935714364 in words is "twelve billion, nine hundred thirty-five million, seven hundred fourteen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 59 87 108 116 118 174 177 236 261 348 354 522 531 708 783 1044 1062 1566 1593 1711 2124 3132 3186 3422 5133 6372 6844 10266 15399 20532 30798 46197 61596 70003 92394 140006 184788 210009 280012 420018 630027 840036 1260054 1890081 2030087 2520108 3780162 4060174 4130177 6090261 7560324 8120348 8260354 12180522 12390531 16520708 18270783 24361044 24781062 36541566 37171593 49562124 54812349 73083132 74343186 109624698 111514779 119775133 148686372 219249396 223029558 239550266 359325399 446059116 479100532 718650798 1077976197 1437301596 2155952394 3233928591 4311904788 6467857182 12935714364