Search a number
-
+
30830123736 = 233213114332281
BaseRepresentation
bin11100101101100111…
…100101101011011000
32221120121022120001200
4130231213211223120
51001120002424421
622055124314200
72140666504446
oct345547455330
987517276050
1030830123736
111209088a305
125b84b42960
132ba4364389
1416c67b5b96
15c06951726
hex72d9e5ad8

30830123736 has 96 divisors (see below), whose sum is σ = 84231267120. Its totient is φ = 10186675200.

The previous prime is 30830123707. The next prime is 30830123743. The reversal of 30830123736 is 63732103803.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30830123736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13514916 + ... + 13517196.

Almost surely, 230830123736 is an apocalyptic number.

30830123736 is a gapful number since it is divisible by the number (36) 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 30830123736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42115633560).

30830123736 is an abundant number, since it is smaller than the sum of its proper divisors (53401143384).

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

30830123736 is a wasteful number, since it uses less digits than its factorization.

30830123736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3857 (or 3850 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 30830123736 in words is "thirty billion, eight hundred thirty million, one hundred twenty-three thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 262 393 524 786 1048 1179 1433 1572 2281 2358 2866 3144 4299 4562 4716 5732 6843 8598 9124 9432 11464 12897 13686 17196 18248 20529 25794 27372 34392 41058 51588 54744 82116 103176 164232 187723 298811 375446 563169 597622 750892 896433 1126338 1195244 1501784 1689507 1792866 2252676 2390488 2689299 3268673 3379014 3585732 4505352 5378598 6537346 6758028 7171464 9806019 10757196 13074692 13516056 19612038 21514392 26149384 29418057 39224076 58836114 78448152 117672228 235344456 428196163 856392326 1284588489 1712784652 2569176978 3425569304 3853765467 5138353956 7707530934 10276707912 15415061868 30830123736