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12702071480 = 2357476115823
BaseRepresentation
bin10111101010001101…
…00011101010111000
31012210020012002100212
423311012203222320
5202003212241410
65500225250252
7626524553240
oct136506435270
935706162325
1012702071480
115428a9633a
122565a93988
13127574aa37
14886d74b20
154e5201b05
hex2f51a3ab8

12702071480 has 128 divisors (see below), whose sum is σ = 33906401280. Its totient is φ = 4192197120.

The previous prime is 12702071479. The next prime is 12702071489. The reversal of 12702071480 is 8417020721.

It is a happy number.

It is a super-2 number, since 2×127020714802 (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 (12702071489) 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, 794849 + ... + 810671.

It is an arithmetic number, because the mean of its divisors is an integer number (264893760).

Almost surely, 212702071480 is an apocalyptic number.

12702071480 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 12702071480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16953200640).

12702071480 is an abundant number, since it is smaller than the sum of its proper divisors (21204329800).

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

12702071480 is a wasteful number, since it uses less digits than its factorization.

12702071480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15949 (or 15945 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The spelling of 12702071480 in words is "twelve billion, seven hundred two million, seventy-one thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 61 70 94 122 140 188 235 244 280 305 329 376 427 470 488 610 658 854 940 1220 1316 1645 1708 1880 2135 2440 2632 2867 3290 3416 4270 5734 6580 8540 11468 13160 14335 15823 17080 20069 22936 28670 31646 40138 57340 63292 79115 80276 100345 110761 114680 126584 158230 160552 200690 221522 316460 401380 443044 553805 632920 743681 802760 886088 965203 1107610 1487362 1930406 2215220 2974724 3718405 3860812 4430440 4826015 5205767 5949448 6756421 7436810 7721624 9652030 10411534 13512842 14873620 19304060 20823068 26028835 27025684 29747240 33782105 38608120 41646136 45364541 52057670 54051368 67564210 90729082 104115340 135128420 181458164 208230680 226822705 270256840 317551787 362916328 453645410 635103574 907290820 1270207148 1587758935 1814581640 2540414296 3175517870 6351035740 12702071480