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30769493804070 = 2357714494596173
BaseRepresentation
bin1101111111100000101001…
…01111111000010000100110
311000221112102221001011211020
412333300110233320100212
513013111410403212240
6145235151005552010
76324010511661420
oct677602457702046
9130845387034736
1030769493804070
1198932a610327a
12354b401275606
1314227211ac4c8
14785373d7b810
153855b9d030d0
hex1bfc14bf8426

30769493804070 has 128 divisors (see below), whose sum is σ = 85775637657600. Its totient is φ = 6918525788160.

The previous prime is 30769493804053. The next prime is 30769493804123. The reversal of 30769493804070 is 7040839496703.

It is a junction number, because it is equal to n+sod(n) for n = 30769493803995 and 30769493804013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4396504 + ... + 8992676.

It is an arithmetic number, because the mean of its divisors is an integer number (670122169200).

Almost surely, 230769493804070 is an apocalyptic number.

30769493804070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30769493804070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42887818828800).

30769493804070 is an abundant number, since it is smaller than the sum of its proper divisors (55006143853530).

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

30769493804070 is a wasteful number, since it uses less digits than its factorization.

30769493804070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4596710.

The product of its (nonzero) digits is 27433728, while the sum is 60.

The spelling of 30769493804070 in words is "thirty trillion, seven hundred sixty-nine billion, four hundred ninety-three million, eight hundred four thousand, seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 71 105 142 210 213 355 426 449 497 710 898 994 1065 1347 1491 2130 2245 2485 2694 2982 3143 4490 4970 6286 6735 7455 9429 13470 14910 15715 18858 31430 31879 47145 63758 94290 95637 159395 191274 223153 318790 446306 478185 669459 956370 1115765 1338918 2231530 3347295 4596173 6694590 9192346 13788519 22980865 27577038 32173211 45961730 64346422 68942595 96519633 137885190 160866055 193039266 321732110 326328283 482598165 652656566 965196330 978984849 1631641415 1957969698 2063681677 2284297981 3263282830 4127363354 4568595962 4894924245 6191045031 6852893943 9789848490 10318408385 11421489905 12382090062 13705787886 14445771739 20636816770 22842979810 28891543478 30955225155 34264469715 43337315217 61910450310 68528939430 72228858695 86674630434 144457717390 146521399067 216686576085 293042798134 433373152170 439564197201 732606995335 879128394402 1025649793469 1465213990670 2051299586938 2197820986005 3076949380407 4395641972010 5128248967345 6153898760814 10256497934690 15384746902035 30769493804070