Search a number
-
+
1152504345456 = 243310039265747
BaseRepresentation
bin10000110001010110100…
…111001011001101110000
311002011211000020212111000
4100301112213023031300
5122340312103023311
62241241515522000
7146160063205002
oct20612647131560
94064730225430
101152504345456
11404857725932
12167443459300
13848b06392c9
143dad265a372
151eea512e056
hex10c569cb370

1152504345456 has 80 divisors (see below), whose sum is σ = 3308456300800. Its totient is φ = 384128402112.

The previous prime is 1152504345361. The next prime is 1152504345469. The reversal of 1152504345456 is 6545434052511.

1152504345456 is a `hidden beast` number, since 1 + 1 + 5 + 250 + 4 + 345 + 4 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4203975 + ... + 4469721.

It is an arithmetic number, because the mean of its divisors is an integer number (41355703760).

Almost surely, 21152504345456 is an apocalyptic number.

1152504345456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1152504345456 is an abundant number, since it is smaller than the sum of its proper divisors (2155951955344).

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

1152504345456 is a wasteful number, since it uses less digits than its factorization.

1152504345456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275803 (or 275791 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

Adding to 1152504345456 its reverse (6545434052511), we get a palindrome (7697938397967).

The spelling of 1152504345456 in words is "one trillion, one hundred fifty-two billion, five hundred four million, three hundred forty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 10039 20078 30117 40156 60234 80312 90351 120468 160624 180702 240936 265747 271053 361404 481872 531494 542106 722808 797241 1062988 1084212 1445616 1594482 2125976 2168424 2391723 3188964 4251952 4336848 4783446 6377928 7175169 9566892 12755856 14350338 19133784 28700676 38267568 57401352 114802704 2667834133 5335668266 8003502399 10671336532 16007004798 21342673064 24010507197 32014009596 42685346128 48021014394 64028019192 72031521591 96042028788 128056038384 144063043182 192084057576 288126086364 384168115152 576252172728 1152504345456