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5174974080 = 2732517411289
BaseRepresentation
bin1001101000111001…
…11101011010000000
3111100122121220212200
410310130331122000
541044243132310
62213301353200
7242145360663
oct46434753200
914318556780
105174974080
112216157691
121005108800
13646192c53
1437140b6da
152044ba9c0
hex13473d680

5174974080 has 384 divisors, whose sum is σ = 19397523600. Its totient is φ = 1266155520.

The previous prime is 5174974061. The next prime is 5174974099. The reversal of 5174974080 is 804794715.

It is a happy number.

5174974080 is a `hidden beast` number, since 517 + 4 + 97 + 40 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5174974061) and next prime (5174974099).

It can be written as a sum of positive squares in 8 ways, for example, as 2394732096 + 2780241984 = 48936^2 + 52728^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4014076 + ... + 4015364.

Almost surely, 25174974080 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 5174974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9698761800).

5174974080 is an abundant number, since it is smaller than the sum of its proper divisors (14222549520).

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

5174974080 is a wasteful number, since it uses less digits than its factorization.

5174974080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 5174974080 is about 71937.2926930115. The cubic root of 5174974080 is about 1729.6944541525.

The spelling of 5174974080 in words is "five billion, one hundred seventy-four million, nine hundred seventy-four thousand, eighty".