Search a number
-
+
70683733308100 = 225211194219801611
BaseRepresentation
bin10000000100100101010110…
…110100001011001011000100
3100021021022001220110121020011
4100010211112310023023010
533231040241211324400
6410155354145120004
720613505542613603
oct2004452664131304
9307238056417204
1070683733308100
11205818918053a0
127b16b93329004
1330595a8082563
14136517a615a3a
158289a59778ba
hex404956d0b2c4

70683733308100 has 144 divisors (see below), whose sum is σ = 176176361491200. Its totient is φ = 24344575056000.

The previous prime is 70683733308047. The next prime is 70683733308103. The reversal of 70683733308100 is 180333738607.

70683733308100 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×706837333081002 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (70683733308103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87776295 + ... + 88577905.

It is an arithmetic number, because the mean of its divisors is an integer number (1223446954800).

Almost surely, 270683733308100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70683733308100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88088180745600).

70683733308100 is an abundant number, since it is smaller than the sum of its proper divisors (105492628183100).

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

70683733308100 is a wasteful number, since it uses less digits than its factorization.

70683733308100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805874 (or 805867 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 49.

The spelling of 70683733308100 in words is "seventy trillion, six hundred eighty-three billion, seven hundred thirty-three million, three hundred eight thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 836 950 1045 1100 1900 2090 4180 4219 5225 8438 10450 16876 20900 21095 42190 46409 80161 84380 92818 105475 160322 185636 210950 232045 320644 400805 421900 464090 801610 801611 881771 928180 1160225 1603220 1603222 1763542 2004025 2320450 3206444 3527084 4008050 4008055 4408855 4640900 8016100 8016110 8817710 8817721 15230609 16032220 17635420 17635442 20040275 22044275 30461218 35270884 40080550 44088550 44088605 60922436 76153045 80161100 88177100 88177210 152306090 167536699 176354420 220443025 304612180 335073398 380765225 440886050 670146796 761530450 837683495 881772100 1523060900 1675366990 3350733980 3381996809 4188417475 6763993618 8376834950 13527987236 16753669900 16909984045 33819968090 37201964899 64257939371 67639936180 74403929798 84549920225 128515878742 148807859596 169099840450 186009824495 257031757484 321289696855 338199680900 372019648990 642579393710 706837333081 744039297980 930049122475 1285158787420 1413674666162 1606448484275 1860098244950 2827349332324 3212896968550 3534186665405 3720196489900 6425793937100 7068373330810 14136746661620 17670933327025 35341866654050 70683733308100