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5803155456 = 2133726179
BaseRepresentation
bin1010110011110010…
…10010000000000000
3112222102122211201120
411121321102000000
543341101433311
62355501432240
7263544002400
oct53171220000
915872584646
105803155456
11250880364a
12115b56b680
13716377ac7
143d0a0c800
1523e703706
hex159e52000

5803155456 has 336 divisors, whose sum is σ = 18527207040. Its totient is φ = 1610219520.

The previous prime is 5803155451. The next prime is 5803155493. The reversal of 5803155456 is 6545513085.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×58031554562 = 67353226493005135872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5803155451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73457625 + ... + 73457703.

Almost surely, 25803155456 is an apocalyptic number.

5803155456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5803155456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9263603520).

5803155456 is an abundant number, since it is smaller than the sum of its proper divisors (12724051584).

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

5803155456 is an equidigital number, since it uses as much as digits as its factorization.

5803155456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 42.

The square root of 5803155456 is about 76178.4448252916. Note that the first 3 decimals coincide. The cubic root of 5803155456 is about 1797.0275484294.

The spelling of 5803155456 in words is "five billion, eight hundred three million, one hundred fifty-five thousand, four hundred fifty-six".