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12956466490 = 25112337612269
BaseRepresentation
bin11000001000100001…
…11111110100111010
31020102221212200201021
430010100333310322
5203013323411430
65541354013054
7636034101532
oct140420776472
936387780637
1012956466490
115549651050
12261711718a
1312b636ba26
148aca764c2
1550c70307a
hex30443fd3a

12956466490 has 128 divisors (see below), whose sum is σ = 27724654080. Its totient is φ = 4311014400.

The previous prime is 12956466487. The next prime is 12956466521. The reversal of 12956466490 is 9466465921.

12956466490 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5709076 + ... + 5711344.

It is an arithmetic number, because the mean of its divisors is an integer number (216598860).

Almost surely, 212956466490 is an apocalyptic number.

12956466490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12956466490 is an abundant number, since it is smaller than the sum of its proper divisors (14768187590).

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

12956466490 is a wasteful number, since it uses less digits than its factorization.

12956466490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408.

The product of its (nonzero) digits is 2799360, while the sum is 52.

The spelling of 12956466490 in words is "twelve billion, nine hundred fifty-six million, four hundred sixty-six thousand, four hundred ninety".

Divisors: 1 2 5 10 11 22 23 37 46 55 61 74 110 115 122 185 230 253 305 370 407 506 610 671 814 851 1265 1342 1403 1702 2035 2257 2269 2530 2806 3355 4070 4255 4514 4538 6710 7015 8510 9361 11285 11345 14030 15433 18722 22570 22690 24827 24959 30866 46805 49654 49918 51911 52187 77165 83953 93610 103822 104374 124135 124795 138409 154330 167906 248270 249590 259555 260935 276818 419765 519110 521870 571021 574057 692045 839530 923483 1142042 1148114 1384090 1522499 1846966 1930919 2855105 2870285 3044998 3183407 3861838 4617415 5121133 5710210 5740570 6366814 7612495 9234830 9654595 10242266 15224990 15917035 19309190 21240109 25605665 31834070 35017477 42480218 51211330 56332463 70034954 106200545 112664926 117786059 175087385 212401090 235572118 281662315 350174770 563324630 588930295 1177860590 1295646649 2591293298 6478233245 12956466490