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1103385484048 = 24294321286093
BaseRepresentation
bin10000000011100110111…
…001100101101100010000
310220111000211110011202211
4100003212321211230100
5121034213140442143
62202515512121504
7142500630603301
oct20034671455420
93814024404684
101103385484048
11395a413822a1
12159a15696294
13800832bab83
143b592d767a8
151da7ccdc49d
hex100e6e65b10

1103385484048 has 60 divisors (see below), whose sum is σ = 2264155626060. Its totient is φ = 520280802048.

The previous prime is 1103385484043. The next prime is 1103385484049. The reversal of 1103385484048 is 8404845833011.

It can be written as a sum of positive squares in 2 ways, for example, as 830700999184 + 272684484864 = 911428^2 + 522192^2 .

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1103385483992 and 1103385484010.

It is not an unprimeable number, because it can be changed into a prime (1103385484043) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 214890 + ... + 1500982.

It is an arithmetic number, because the mean of its divisors is an integer number (37735927101).

Almost surely, 21103385484048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103385484048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132077813030).

1103385484048 is an abundant number, since it is smaller than the sum of its proper divisors (1160770142012).

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

1103385484048 is a wasteful number, since it uses less digits than its factorization.

1103385484048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286216 (or 1286167 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 49.

The spelling of 1103385484048 in words is "one trillion, one hundred three billion, three hundred eighty-five million, four hundred eighty-four thousand, forty-eight".

Divisors: 1 2 4 8 16 29 43 58 86 116 172 232 344 464 688 1247 1849 2494 3698 4988 7396 9976 14792 19952 29584 53621 107242 214484 428968 857936 1286093 2572186 5144372 10288744 20577488 37296697 55301999 74593394 110603998 149186788 221207996 298373576 442415992 596747152 884831984 1603757971 2377985957 3207515942 4755971914 6415031884 9511943828 12830063768 19023887656 25660127536 38047775312 68961592753 137923185506 275846371012 551692742024 1103385484048