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29316376706000 = 2453113229756473
BaseRepresentation
bin1101010101001110000000…
…01110000011101111010000
310211210121200200212020000212
412222213000032003233100
512320304414414043000
6142203431343303252
76114016100306216
oct652470016035720
9124717620766025
1029316376706000
11938300741302a
1233558632aab28
1313486a3b022b7
14734cc5076cb6
1535c8bd828c35
hex1aa9c0383bd0

29316376706000 has 160 divisors (see below), whose sum is σ = 71546718136608. Its totient is φ = 11617510195200.

The previous prime is 29316376705951. The next prime is 29316376706011. The reversal of 29316376706000 is 60767361392.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 26085902494096 + 3230474211904 = 5107436^2 + 1797352^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 29316376706000.

It is a congruent number.

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, 519093764 + ... + 519150236.

Almost surely, 229316376706000 is an apocalyptic number.

29316376706000 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 29316376706000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35773359068304).

29316376706000 is an abundant number, since it is smaller than the sum of its proper divisors (42230341430608).

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

29316376706000 is a wasteful number, since it uses less digits than its factorization.

29316376706000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58906 (or 58890 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 50.

The spelling of 29316376706000 in words is "twenty-nine trillion, three hundred sixteen billion, three hundred seventy-six million, seven hundred six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 113 125 200 226 250 400 452 500 565 904 1000 1130 1808 2000 2260 2297 2825 4520 4594 5650 9040 9188 11300 11485 14125 18376 22600 22970 28250 36752 45200 45940 56473 56500 57425 91880 112946 113000 114850 183760 225892 226000 229700 259561 282365 287125 451784 459400 519122 564730 574250 903568 918800 1038244 1129460 1148500 1297805 1411825 2076488 2258920 2297000 2595610 2823650 4152976 4517840 4594000 5191220 5647300 6381449 6489025 7059125 10382440 11294600 12762898 12978050 14118250 20764880 22589200 25525796 25956100 28236500 31907245 32445125 51051592 51912200 56473000 63814490 64890250 102103184 103824400 112946000 127628980 129718481 129780500 159536225 255257960 259436962 259561000 319072450 510515920 518873924 519122000 638144900 648592405 797681125 1037747848 1276289800 1297184810 1595362250 2075495696 2552579600 2594369620 3190724500 3242962025 5188739240 6381449000 6485924050 10377478480 12762898000 12971848100 14658188353 16214810125 25943696200 29316376706 32429620250 51887392400 58632753412 64859240500 73290941765 117265506824 129718481000 146581883530 234531013648 259436962000 293163767060 366454708825 586327534120 732909417650 1172655068240 1465818835300 1832273544125 2931637670600 3664547088250 5863275341200 7329094176500 14658188353000 29316376706000