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2103506496 = 263474132
BaseRepresentation
bin111110101100000…
…1111011001000000
312102121010012110000
41331120033121000
513301444201441
6544421240000
7103061340000
oct17530173100
95377105400
102103506496
1198a413623
124a8563000
13276a47c00
1415d520000
15c4a0b2b6
hex7d60f640

2103506496 has 525 divisors, whose sum is σ = 7876862961. Its totient is φ = 554770944.

The previous prime is 2103506491. The next prime is 2103506513. The reversal of 2103506496 is 6946053012.

It is a happy number.

The square root of 2103506496 is 45864.

It is a perfect power (a square), and thus also a powerful number.

2103506496 is a `hidden beast` number, since 2 + 1 + 0 + 3 + 5 + 0 + 649 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 311169600 + 1792336896 = 17640^2 + 42336^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2103506496.

It is not an unprimeable number, because it can be changed into a prime (2103506491) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 161808186 + ... + 161808198.

Almost surely, 22103506496 is an apocalyptic number.

2103506496 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2103506496 is the 45864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2103506496

2103506496 is an abundant number, since it is smaller than the sum of its proper divisors (5773356465).

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

2103506496 is an frugal number, since it uses more digits than its factorization.

2103506496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The cubic root of 2103506496 is about 1281.2915219350.

Multiplying 2103506496 by its sum of digits (36), we get a square (75726233856 = 2751842).

2103506496 divided by its sum of digits (36) gives a square (58430736 = 76442).

The spelling of 2103506496 in words is "two billion, one hundred three million, five hundred six thousand, four hundred ninety-six".