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5446521696 = 253731121367
BaseRepresentation
bin1010001001010001…
…10101001101100000
3112001120120222011210
411010220311031200
542123302143241
62300241510120
7251653446000
oct50450651540
915046528153
105446521696
112345468400
121080042340
1368a50b305
143994d6000
1521d259316
hex144a35360

5446521696 has 288 divisors, whose sum is σ = 18339955200. Its totient is φ = 1413646080.

The previous prime is 5446521679. The next prime is 5446521737. The reversal of 5446521696 is 6961256445.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3983605 + ... + 3984971.

It is an arithmetic number, because the mean of its divisors is an integer number (63680400).

Almost surely, 25446521696 is an apocalyptic number.

5446521696 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 5446521696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9169977600).

5446521696 is an abundant number, since it is smaller than the sum of its proper divisors (12893433504).

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

5446521696 is a wasteful number, since it uses less digits than its factorization.

5446521696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1390 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 48.

The square root of 5446521696 is about 73800.5534938594. The cubic root of 5446521696 is about 1759.4344015906.

The spelling of 5446521696 in words is "five billion, four hundred forty-six million, five hundred twenty-one thousand, six hundred ninety-six".