Search a number
-
+
30787615296 = 263424372
BaseRepresentation
bin11100101011000101…
…011011101001000000
32221110122022220110000
4130223011123221000
51001023112142141
622051005240000
72136642261234
oct345305335100
987418286400
1030787615296
1112069896069
125b72863000
132b985ccb59
1416c0cac5c4
15c02d565b6
hex72b15ba40

30787615296 has 105 divisors (see below), whose sum is σ = 91301601369. Its totient is φ = 10258327296.

The previous prime is 30787615289. The next prime is 30787615319. The reversal of 30787615296 is 69251678703.

The square root of 30787615296 is 175464.

It is a perfect power (a square), and thus also a powerful number.

30787615296 is a `hidden beast` number, since 30 + 7 + 87 + 6 + 1 + 529 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28995278400 + 1792336896 = 170280^2 + 42336^2 .

It is a super-2 number, since 2×307876152962 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 12632190 + ... + 12634626.

Almost surely, 230787615296 is an apocalyptic number.

30787615296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

30787615296 is the 175464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30787615296

30787615296 is an abundant number, since it is smaller than the sum of its proper divisors (60513986073).

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

30787615296 is an frugal number, since it uses more digits than its factorization.

30787615296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4898 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 30787615296 in words is "thirty billion, seven hundred eighty-seven million, six hundred fifteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2437 2592 4874 5184 7311 9748 14622 19496 21933 29244 38992 43866 58488 65799 77984 87732 116976 131598 155968 175464 197397 233952 263196 350928 394794 467904 526392 701856 789588 1052784 1403712 1579176 2105568 3158352 4211136 5938969 6316704 11877938 12633408 17816907 23755876 35633814 47511752 53450721 71267628 95023504 106901442 142535256 160352163 190047008 213802884 285070512 320704326 380094016 427605768 481056489 570141024 641408652 855211536 962112978 1140282048 1282817304 1710423072 1924225956 2565634608 3420846144 3848451912 5131269216 7696903824 10262538432 15393807648 30787615296