Search a number
-
+
11403056336 = 2472693111217
BaseRepresentation
bin10101001111010110…
…01101010011010000
31002102200212021120212
422213223031103100
5141323140300321
65123303023252
7552402244130
oct124753152320
932380767525
1011403056336
114921801001
122262a3ab28
1310c9599119
147a262cac0
1546b15855b
hex2a7acd4d0

11403056336 has 80 divisors (see below), whose sum is σ = 25445871360. Its totient is φ = 4849213440.

The previous prime is 11403056303. The next prime is 11403056369. The reversal of 11403056336 is 63365030411.

11403056336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11403056303) and next prime (11403056369).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 9369200 + ... + 9370416.

It is an arithmetic number, because the mean of its divisors is an integer number (318073392).

Almost surely, 211403056336 is an apocalyptic number.

11403056336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11403056336 is an abundant number, since it is smaller than the sum of its proper divisors (14042815024).

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

11403056336 is a wasteful number, since it uses less digits than its factorization.

11403056336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

Adding to 11403056336 its reverse (63365030411), we get a palindrome (74768086747).

The spelling of 11403056336 in words is "eleven billion, four hundred three million, fifty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 269 311 538 622 1076 1217 1244 1883 2152 2177 2434 2488 3766 4304 4354 4868 4976 7532 8519 8708 9736 15064 17038 17416 19472 30128 34076 34832 68152 83659 136304 167318 327373 334636 378487 585613 654746 669272 756974 1171226 1309492 1338544 1513948 2291611 2342452 2618984 2649409 3027896 4583222 4684904 5237968 5298818 6055792 9166444 9369808 10597636 18332888 21195272 36665776 42390544 101813003 203626006 407252012 712691021 814504024 1425382042 1629008048 2850764084 5701528168 11403056336