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29962743741320 = 23513115153879293
BaseRepresentation
bin1101101000000001111101…
…01100100111101110001000
310221002102002010110201111112
412310000332230213232020
512411402144344210240
6143420410000145452
76211510502411225
oct664007654475610
9127072063421445
1029962743741320
119602145795525
12343ab92308288
131394622949b80
147582c135a94c
1536e5ee117665
hex1b403eb27b88

29962743741320 has 128 divisors (see below), whose sum is σ = 72686420029440. Its totient is φ = 11050314009600.

The previous prime is 29962743741311. The next prime is 29962743741373. The reversal of 29962743741320 is 2314734726992.

It is a self number, because there is not a number n which added to its sum of digits gives 29962743741320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3224222594 + ... + 3224231886.

It is an arithmetic number, because the mean of its divisors is an integer number (567862656480).

Almost surely, 229962743741320 is an apocalyptic number.

29962743741320 is a gapful number since it is divisible by the number (20) 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 29962743741320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36343210014720).

29962743741320 is an abundant number, since it is smaller than the sum of its proper divisors (42723676288120).

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

29962743741320 is a wasteful number, since it uses less digits than its factorization.

29962743741320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15855 (or 15851 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 59.

The spelling of 29962743741320 in words is "twenty-nine trillion, nine hundred sixty-two billion, seven hundred forty-three million, seven hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1151 2302 4604 5387 5755 9208 9293 10774 11510 14963 18586 21548 23020 26935 29926 37172 43096 46040 46465 53870 59852 70031 74344 74815 92930 107740 119704 120809 140062 149630 185860 215480 241618 280124 299260 350155 371720 483236 560248 598520 604045 700310 966472 1208090 1400620 2416180 2801240 4832360 6200437 10696243 12400874 21392486 24801748 31002185 42784972 49603496 50061391 53481215 62004370 80605681 85569944 100122782 106962430 124008740 139051159 161211362 200245564 213924860 248017480 250306955 278102318 322422724 400491128 403028405 427849720 500613910 556204636 644845448 650798083 695255795 806056810 1001227820 1112409272 1301596166 1390511590 1612113620 2002455640 2603192332 2781023180 3224227240 3253990415 5206384664 5562046360 6507980830 13015961660 26031923320 57620661041 115241322082 230482644164 288103305205 460965288328 576206610410 749068593533 1152413220820 1498137187066 2304826441640 2996274374132 3745342967665 5992548748264 7490685935330 14981371870660 29962743741320