Search a number
-
+
12333432450 = 2352105178233
BaseRepresentation
bin10110111110010000…
…10011111010000010
31011211112112021200110
423133020103322002
5200224324314300
65355500132150
7614430306003
oct133710237202
934745467613
1012333432450
1152599a0389
122482537056
131217269a31
148500151aa
154c2b85550
hex2df213e82

12333432450 has 48 divisors (see below), whose sum is σ = 30616406496. Its totient is φ = 3285744000.

The previous prime is 12333432373. The next prime is 12333432467. The reversal of 12333432450 is 5423433321.

12333432450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123334324502 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118534 + ... + 196766.

It is an arithmetic number, because the mean of its divisors is an integer number (637841802).

Almost surely, 212333432450 is an apocalyptic number.

12333432450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12333432450 is an abundant number, since it is smaller than the sum of its proper divisors (18282974046).

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

12333432450 is a wasteful number, since it uses less digits than its factorization.

12333432450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79299 (or 79294 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 12333432450 its reverse (5423433321), we get a palindrome (17756865771).

The spelling of 12333432450 in words is "twelve billion, three hundred thirty-three million, four hundred thirty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 1051 2102 3153 5255 6306 10510 15765 26275 31530 52550 78233 78825 156466 157650 234699 391165 469398 782330 1173495 1955825 2346990 3911650 5867475 11734950 82222883 164445766 246668649 411114415 493337298 822228830 1233343245 2055572075 2466686490 4111144150 6166716225 12333432450