Search a number
-
+
30136029696 = 29336732537
BaseRepresentation
bin11100000100001111…
…110101001000000000
32212210020020221001000
4130010033311020000
5443204310422241
621502211412000
72114541011613
oct340417651000
985706227030
1030136029696
1111865004173
125a105b4000
132ac3612246
14165c53817a
15bb5a48eb6
hex7043f5200

30136029696 has 160 divisors (see below), whose sum is σ = 90538937280. Its totient is φ = 9895108608.

The previous prime is 30136029667. The next prime is 30136029697. The reversal of 30136029696 is 69692063103.

It is a happy number.

30136029696 is a `hidden beast` number, since 30 + 1 + 3 + 602 + 9 + 6 + 9 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (30136029697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 909940 + ... + 942476.

It is an arithmetic number, because the mean of its divisors is an integer number (565868358).

Almost surely, 230136029696 is an apocalyptic number.

30136029696 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 30136029696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45269468640).

30136029696 is an abundant number, since it is smaller than the sum of its proper divisors (60402907584).

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

30136029696 is an equidigital number, since it uses as much as digits as its factorization.

30136029696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32631 (or 32609 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 30136029696 in words is "thirty billion, one hundred thirty-six million, twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 96 108 128 134 144 192 201 216 256 268 288 384 402 432 512 536 576 603 768 804 864 1072 1152 1206 1536 1608 1728 1809 2144 2304 2412 3216 3456 3618 4288 4608 4824 6432 6912 7236 8576 9648 12864 13824 14472 17152 19296 25728 28944 32537 34304 38592 51456 57888 65074 77184 97611 102912 115776 130148 154368 195222 231552 260296 292833 308736 390444 463104 520592 585666 780888 878499 926208 1041184 1171332 1561776 1756998 2082368 2179979 2342664 3123552 3513996 4164736 4359958 4685328 6247104 6539937 7027992 8329472 8719916 9370656 12494208 13079874 14055984 16658944 17439832 18741312 19619811 24988416 26159748 28111968 34879664 37482624 39239622 49976832 52319496 56223936 58859433 69759328 74965248 78479244 104638992 112447872 117718866 139518656 149930496 156958488 209277984 224895744 235437732 279037312 313916976 418555968 449791488 470875464 558074624 627833952 837111936 941750928 1116149248 1255667904 1674223872 1883501856 2511335808 3348447744 3767003712 5022671616 7534007424 10045343232 15068014848 30136029696