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5419431360 = 263457217251
BaseRepresentation
bin1010000110000010…
…11111010111000000
3111222200121122020000
411003001133113000
542044333300420
62253433120000
7251204256300
oct50301372700
914880548200
105419431360
112331144aa2
121072b59000
13684a14825
14395a83600
1521aba7690
hex14305f5c0

5419431360 has 840 divisors, whose sum is σ = 23839011504. Its totient is φ = 1161216000.

The previous prime is 5419431323. The next prime is 5419431401. The reversal of 5419431360 is 631349145.

5419431360 is a `hidden beast` number, since 541 + 9 + 43 + 13 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 21591235 + ... + 21591485.

Almost surely, 25419431360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5419431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11919505752).

5419431360 is an abundant number, since it is smaller than the sum of its proper divisors (18419580144).

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

5419431360 is a wasteful number, since it uses less digits than its factorization.

5419431360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 285 counting only the distinct ones).

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

The square root of 5419431360 is about 73616.7872159605. The cubic root of 5419431360 is about 1756.5124809413.

The spelling of 5419431360 in words is "five billion, four hundred nineteen million, four hundred thirty-one thousand, three hundred sixty".