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12929292880 = 2457217194017
BaseRepresentation
bin11000000101010010…
…10101101001010000
31020101001202010112021
430002221111221100
5202434344333010
65534543341224
7635254114300
oct140251255120
936331663467
1012929292880
115535281119
122609bb1814
1312b084637a
148a9201600
1550a1368da
hex302a55a50

12929292880 has 120 divisors (see below), whose sum is σ = 37025619048. Its totient is φ = 4172120064.

The previous prime is 12929292851. The next prime is 12929292889. The reversal of 12929292880 is 8829292921.

It can be written as a sum of positive squares in 4 ways, for example, as 6399360016 + 6529932864 = 79996^2 + 80808^2 .

It is a super-2 number, since 2×129292928802 (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 (12929292889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30369 + ... + 163648.

Almost surely, 212929292880 is an apocalyptic number.

12929292880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12929292880 is an abundant number, since it is smaller than the sum of its proper divisors (24096326168).

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

12929292880 is a wasteful number, since it uses less digits than its factorization.

12929292880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194061 (or 194048 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 52.

It can be divided in two parts, 12929 and 292880, that added together give a square (305809 = 5532).

The spelling of 12929292880 in words is "twelve billion, nine hundred twenty-nine million, two hundred ninety-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 49 56 68 70 80 85 98 112 119 136 140 170 196 238 245 272 280 340 392 476 490 560 595 680 784 833 952 980 1190 1360 1666 1904 1960 2380 3332 3920 4165 4760 6664 8330 9520 13328 16660 33320 66640 194017 388034 776068 970085 1358119 1552136 1940170 2716238 3104272 3298289 3880340 5432476 6596578 6790595 7760680 9506833 10864952 13193156 13581190 15521360 16491445 19013666 21729904 23088023 26386312 27162380 32982890 38027332 46176046 47534165 52772624 54324760 65965780 76054664 92352092 95068330 108649520 115440115 131931560 152109328 161616161 184704184 190136660 230880230 263863120 323232322 369408368 380273320 461760460 646464644 760546640 808080805 923520920 1292929288 1616161610 1847041840 2585858576 3232323220 6464646440 12929292880