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12698412700 = 22522329613121
BaseRepresentation
bin10111101001110001…
…00110011010011100
31012202222022012110111
423310320212122130
5202001243201300
65500015015404
7626451504241
oct136470463234
935688265414
1012698412700
115426a17456
12256480a564
131274a6958c
148866a15c8
154e4c2c9ba
hex2f4e2669c

12698412700 has 144 divisors (see below), whose sum is σ = 30242439360. Its totient is φ = 4612608000.

The previous prime is 12698412673. The next prime is 12698412719. The reversal of 12698412700 is 721489621.

It is a super-2 number, since 2×126984127002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4067140 + ... + 4070260.

It is an arithmetic number, because the mean of its divisors is an integer number (210016940).

Almost surely, 212698412700 is an apocalyptic number.

12698412700 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 12698412700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15121219680).

12698412700 is an abundant number, since it is smaller than the sum of its proper divisors (17544026660).

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

12698412700 is a wasteful number, since it uses less digits than its factorization.

12698412700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3248 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 12698412700 in words is "twelve billion, six hundred ninety-eight million, four hundred twelve thousand, seven hundred".

Divisors: 1 2 4 5 10 20 23 25 29 46 50 58 61 92 100 115 116 122 145 230 244 290 305 460 575 580 610 667 725 1150 1220 1334 1403 1450 1525 1769 2300 2668 2806 2900 3050 3121 3335 3538 5612 6100 6242 6670 7015 7076 8845 12484 13340 14030 15605 16675 17690 28060 31210 33350 35075 35380 40687 44225 62420 66700 70150 71783 78025 81374 88450 90509 140300 143566 156050 162748 176900 181018 190381 203435 287132 312100 358915 362036 380762 406870 452545 717830 761524 813740 905090 951905 1017175 1435660 1794575 1810180 1903810 2034350 2081707 2262725 3589150 3807620 4068700 4163414 4378763 4525450 4759525 5521049 7178300 8326828 8757526 9050900 9519050 10408535 11042098 17515052 19038100 20817070 21893815 22084196 27605245 41634140 43787630 52042675 55210490 87575260 104085350 109469075 110420980 126984127 138026225 208170700 218938150 253968254 276052450 437876300 507936508 552104900 634920635 1269841270 2539682540 3174603175 6349206350 12698412700