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12697143040 = 285151179367
BaseRepresentation
bin10111101001100111…
…10000011100000000
31012202212220200211001
423310303300130000
5202000432034130
65455531501344
7626434635511
oct136463603400
935685820731
1012697143040
11542622a54a
1225642b7854
1312747136ba
14886450a08
154e4a7b6ca
hex2f4cf0700

12697143040 has 144 divisors (see below), whose sum is σ = 30869959680. Its totient is φ = 5003366400.

The previous prime is 12697143037. The next prime is 12697143047. The reversal of 12697143040 is 4034179621.

It is a super-2 number, since 2×126971430402 (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 (12697143047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34596937 + ... + 34597303.

It is an arithmetic number, because the mean of its divisors is an integer number (214374720).

Almost surely, 212697143040 is an apocalyptic number.

12697143040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12697143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15434979840).

12697143040 is an abundant number, since it is smaller than the sum of its proper divisors (18172816640).

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

12697143040 is a wasteful number, since it uses less digits than its factorization.

12697143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 12697143040 in words is "twelve billion, six hundred ninety-seven million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 151 160 179 256 302 320 358 367 604 640 716 734 755 895 1208 1280 1432 1468 1510 1790 1835 2416 2864 2936 3020 3580 3670 4832 5728 5872 6040 7160 7340 9664 11456 11744 12080 14320 14680 19328 22912 23488 24160 27029 28640 29360 38656 45824 46976 48320 54058 55417 57280 58720 65693 93952 96640 108116 110834 114560 117440 131386 135145 193280 216232 221668 229120 234880 262772 270290 277085 328465 432464 443336 469760 525544 540580 554170 656930 864928 886672 1051088 1081160 1108340 1313860 1729856 1773344 2102176 2162320 2216680 2627720 3459712 3546688 4204352 4324640 4433360 5255440 6919424 7093376 8408704 8649280 8866720 9919643 10510880 14186752 16817408 17298560 17733440 19839286 21021760 34597120 35466880 39678572 42043520 49598215 70933760 79357144 84087040 99196430 158714288 198392860 317428576 396785720 634857152 793571440 1269714304 1587142880 2539428608 3174285760 6348571520 12697143040