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5378698598400 = 2113452172331107
BaseRepresentation
bin100111001000101001101…
…1010110101100000000000
3201001012100202100011210000
41032101103122311200000
51201111033320122100
615234535013440000
71063412110510401
oct116212332654000
921035322304700
105378698598400
111794103155626
1272a517340000
1330029451ba5a
1414848a8999a8
1594da3ed3900
hex4e4536b5800

5378698598400 has 2880 divisors, whose sum is σ = 22932872202240. Its totient is φ = 1237922611200.

The previous prime is 5378698598333. The next prime is 5378698598411. The reversal of 5378698598400 is 48958968735.

5378698598400 is a `hidden beast` number, since 5 + 3 + 7 + 86 + 98 + 59 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×53786985984002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 50268211147 + ... + 50268211253.

It is an arithmetic number, because the mean of its divisors is an integer number (7962802848).

Almost surely, 25378698598400 is an apocalyptic number.

5378698598400 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 5378698598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11466436101120).

5378698598400 is an abundant number, since it is smaller than the sum of its proper divisors (17554173603840).

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

5378698598400 is a wasteful number, since it uses less digits than its factorization.

5378698598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 5378698598400 in words is "five trillion, three hundred seventy-eight billion, six hundred ninety-eight million, five hundred ninety-eight thousand, four hundred".