Search a number
-
+
12435238272 = 27332383433
BaseRepresentation
bin10111001010011001…
…01010110110000000
31012002122002120000110
423211030222312000
5200431410111042
65413534151320
7620104531662
oct134514526600
935078076013
1012435238272
115301405626
1224b0652540
131232393472
1485d756532
154cba9509c
hex2e532ad80

12435238272 has 32 divisors (see below), whose sum is σ = 33031102680. Its totient is φ = 4145079296.

The previous prime is 12435238229. The next prime is 12435238339. The reversal of 12435238272 is 27283253421.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 12435238272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16191333 + ... + 16192100.

Almost surely, 212435238272 is an apocalyptic number.

12435238272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12435238272 is an abundant number, since it is smaller than the sum of its proper divisors (20595864408).

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

12435238272 is an equidigital number, since it uses as much as digits as its factorization.

12435238272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32383450 (or 32383438 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The spelling of 12435238272 in words is "twelve billion, four hundred thirty-five million, two hundred thirty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 32383433 64766866 97150299 129533732 194300598 259067464 388601196 518134928 777202392 1036269856 1554404784 2072539712 3108809568 4145079424 6217619136 12435238272