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5373656400 = 2435271095869
BaseRepresentation
bin1010000000100101…
…10111110101010000
3111212111111000210010
411000102313311100
542001124001100
62245120034520
7250110216510
oct50022676520
914774430703
105373656400
11230831a652
12105b762a40
136783a8558
1438d969840
15216b64750
hex1404b7d50

5373656400 has 240 divisors, whose sum is σ = 19856566400. Its totient is φ = 1216788480.

The previous prime is 5373656389. The next prime is 5373656417. The reversal of 5373656400 is 46563735.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 912666 + ... + 918534.

Almost surely, 25373656400 is an apocalyptic number.

5373656400 is a gapful number since it is divisible by the number (50) 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 5373656400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9928283200).

5373656400 is an abundant number, since it is smaller than the sum of its proper divisors (14482910000).

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

5373656400 is a wasteful number, since it uses less digits than its factorization.

5373656400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6006 (or 5995 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 39.

The square root of 5373656400 is about 73305.2276444184. The cubic root of 5373656400 is about 1751.5530594055.

The spelling of 5373656400 in words is "five billion, three hundred seventy-three million, six hundred fifty-six thousand, four hundred".